Amaterasu automatically kills every pain except for Deva, and Preta. The paths lack the speed to react, Ay hardly dodged Amaterasu. While Pain may try to set up strategies to defend his paths against Amaterasu, Itachi has so many tactics such as exploding clones, and crow clones to create openings.
You forgot to mention that Pain also has full intel and therefore he just places the paths in a battle formation to counter Amaterasu with Deva, Preta, and Asura in the front and Naraka, Human, and Animal behind.
Pain can see chakra build up so when he sees a mass building up in Itachi's eyes he prepares Deva to ST it away. If any of the paths do get hit, Deva can remove the flames with BT. If he can remove the flames from his body with ST then the opposite is also true, he can pull them off of someone with BT. His tactics won't matter either because of the Rinngeans shared field of vision, he will always be seen, no matter where he goes.
Itachi has 0 issues since his stamina problem is gone.
But he only has the capacity he had in his actual life, which is poor compared to people in his tier. When he uses an Amaterasu or whatever his chakra still needs to regenerate like an edo body does. His limit was shown to be 2 Amaterasu before stopping to rest and while he won't need to rest in edo form, he still won't be able to spam another MS technique immediately after that second Amaterasu because he could not do that when alive.
Tactics will take down Preta and Deva, that's only 2 pairs of eyes to look out for. If SM Naruto could create strategies, Itachi is easily capable of replicating SM Naruto's strategic feats.
This makes no sense. By your logic one could say everyone is easily capable of replicating everyone's strategic feats all because such and such did.