No it wouldn't. I don't know why you're excluding that someone could have just been training independently and been a fighter in the New World while the Strawhats had their journey. The Minks and colosseum fighters are prime examples of people who weren't with the SHs, but were fighting and training to have the strength to survive. It's not like we think the next Strawhat is gonna be some random shop vendor on the next island.
And I don't get why you are ignoring my remark that they need to have something that can compensate. Jinbei is a Shichibukai, so that would for example be a compensation. Rebecca was a natural born user of the CoO, that would be a compensation. But Vivi, what does she have to compensate?
The point of the time skip was to give all the Strawhats an edge and not to become equal via two years heavily training. That would mean they would have been pathetically weak compared for example all the other Supernova. Many of the Supernova were forced or had no other option than joining a Yonkou. The ones who didn't, well look at Bonney, she doesn't have a crew anymore as it seems. Kidd lost his arm and is likely rotting in a jail and Urogue was also heavily injured. Who has so far been the most successful in the New World? Luffy and Law, not coincidently the two who decided to wait to enter the NW. They achieved more in a few weeks than what all the others did in two years. Hence a new Strawhat should have something to compensate as otherwise what was the point of the TS? Then they could have gone immediately.
I agree wit this part^
Don't agree wit this part^
Reason:
1)SHs need 1logia user. They have Zoan, Paramecia, Cyborg, Zombie,God & normal human but no Logia.
2)Carrot has no dream like "I want to be Greatest Mink in OPverse" (or) "I want to find some lost treasure nobody has seen".
3)She was not a villain. Oda said next SH will be a former villain.
Your first remark doesn't make sense. There is no god, there is in fact also no zombie as Brook's a skeleton and those have nothing to do with the DF types. This is an extremely subjective and forced interpretation, even more so when you consider there are ancient zoan's, mythical zoans, normal zoans, long-leg tribe people, long-arm tribe people, giants, fishmen, minks, snake-neck people etc. So there is absolutely nothing that indicates there should be a logia in the crew.
Your second remark is also not really important as not all the Strawhats have well define dreams. Usopp wants to become a brave warrior of the sea, but what's that supposed to mean? And what is exactly Chopper's dream? It's not so much a dream that is needed, but a motivation as why they would want to go with Luffy and in the case of Carrot just wanting to see the world after having never left Zou can be enough to fulfill that requirement.
And your 3rd remark seems to be or baseless or outdated as it's not even certain that there is going to be a next Strawhat, so that Oda would have said that the next one right now would be a former villain, well that would mean it has been confirmed there is going to be a new Strawhat.
So what? They don't need a Logia at all.
What role does Zoro have? Sleeper? What role does Jinbei, who is going to join, have?
Zoro is Luffy's 2nd mate. Frankly I really don't get why so many people are still so obstinate in trying to deny this. It doesn't matter that it's not tied with any particular authority or hierarchy. No one questions that Luffy is the captain despite the fact that he doesn't act like a captain at all, this is even went to the point that Chopper's definition of a captain is the guy who doesn't have to listen to anything.
Zoro was the first crew member who Luffy recruited and who has been the longest with him. He is the one who had a bounty first after Luffy and he is the one who has the highest bounty after Luffy. He is always the one who beats the one confirmed to be the 2nd strongest of the enemy's forces and this goes on and on. The most prominent example is when Zoro took the damage from Luffy's fight when they met Kuma. Realistically that scene made no sense. Kuma has always been weird, but his actions there took the cake as there was never any reason for him to take Luffy's head, especially not when you see to which degrees he went to save the Strawhats later on. Oda could have easily removed all of that, but he didn't. But if you approach this from Zoro's perspective, it makes more sense. All of that was for Zoro, not for Luffy. It's there that Zoro stood up for Luffy even renouncing his own dream. Likely all of the Strawhats would have done that, but Oda decided it had to be Zoro. By all means, accounts and definitions Zoro is Luffy's 2nd mate. He is the one the people in the OPverse will think about first when someone asks about Luffy's nakama.
How anyone is still trying to deny this, is beyond me. That being the 2nd mate of the Strawhats does not come with any power, is irrelevant.
And who says Jinbei joins? It's rather redundant to start talking about the position of a character that's not even a Strawhat. Apparently I'm the only one who thinks that Jinbei is never going to join, at least not as long as the main story is running, and even if he did the chances are reasonable that it would be in a parent-child relationship similar to Bartolomeo. After all Jinbei still has his own crew. If Oda wanted Jinbei to join, he would have made him accept on FI, he however made him decline because he couldn't at the time and the reasons as why he declined are really not the type of things that will change within a few weeks. Jinbei is currently as much a Strawhat as Vivi.
But he doesn't need one,I don't think Luffy said anything about role when asking him to join in Fishmen arc
That's assuming that Jinbei joins.
No, you are forcing them into roles. Because the only essential things on a ship are a navigator, a doctor and a cook.
The rest are some helpful skills that you need every now and then.
Also it has been stated many times that the strawhats don't have any hierarchy. There is no second in command. The times Zoro said something useful that changed the course of action are limited, and only the moment in Water 7 comes to mind. Bombarding him to the Rayleigh of this generation is just silly. They have nothing in common except for a scar over their eyes. Where Rayleigh was actually a strategic smart guy to help his captain, Zoro does nothing on the ship. If anything Nami resembles Rayleigh more that Zoro does.
It's a bit annoying that every now and then all these parallels show up and people are pushing Luffy in a Roger mold and trying to make him like some child of prophecy. Let's just enjoy the story that Luffy is his own man on his own adventure and not that he is destined to repeat history and become the exact same guy with the exact same vice captain. There is no fun in that at all.
There is no forcing. Frankly your list of what is essential is much more forced as for example a cook is absolutely not essential. If you want to eat decently every day it's best if you have someone who can cook, but in reality just having certain types of food is enough to receive the required amount of vitamines to stay healthy. For example lemons. So most of the time ships just bought large quantities of specific types of food and ate the same thing continuously during their voyages without much preparation. They didn't really need a cook, a ration master was far more important to make sure that all the food was equally distributed.
All the Strawhats correspond with a position, there is absolutely nothing forced about it, and all of them can be found on a ship. That not with all of them their positions automatically correspond with the strict definition of their position, matters little. There is only one exception and that's Robin as you really don't need a scholar/archeologist on a ship. However she is important for the connection between the OP, the Void Century and the Pirate King. All the others are actual people that could be found on a ship:
Luffy - captain
Zoro - 2nd mate (denying this at this point is stupid, it doesn't matter that the position doesn't hold any practical power within the Strawhat crew. I really don't get why people keep bringing that up.)
Nami - navigator
Sanji - cook
Chopper - doctor
Franky - shipwright
Brook - musician (Luffy even once said a long time ago that they needed a musician, so it's a real position)
Usopp - cannoneer (normally people say sniper as that how he fights, however he also is the one who most of the time fires the canons and cannoneers could be found on any ship with canons on it)
And Zoro is indeed to Luffy what Rayleigh was to Roger. That they have different personalities, different intelligence levels, different looks... all of that is redundant, it doesn't matter. What's important is the relationship between Zoro & Luffy and Rayleigh & Roger respectively and in that regard Nami doesn't even remotely look like Rayleigh. Even the moments Zoro & Luffy and Rayleigh & Roger met for the first time bare a strong resemblance. There is a particular scene on Java where Luffy gets mocked and beaten along with Zoro. Nami was there too and she didn't not understand in the least why neither Luffy nor Zoro were fighting back, Zoro however understood Luffy immediately without any kind of words. You just started stripping down all the characters individually and compare their looks, intelligence etc., but that doesn't matter. Zoro is to Luffy what Rayleigh was to Roger, whether all four of them are exactly the same or completely different, doesn't matter.