NO Naruto doesn't have his fathers space time. Do you even know what a space time technique is?! Its a looooooooooot more than ''speed'' as you were able to see in the Madara vs Minato fight where both of the so far (for me) most extraordinary techs were exhibited.
Speed is just one of the very useful side effects.
I know this isnt much of a thread but i have already grown tired of writing this in every DOES NARUTO HAVE FTG thread and I am sure there will be a LOT more so here you go!
also I could be wrong but in that case Naruto could only get more OP if he gets one eye glare instant kill tech (since he wouldnt need any kunai and would just use FTG at wish)
1)He did the same thing his father did in the previous manga without a kunai. hmm maybe they were setting the story line to show he is his fathers son.
2)They called him yellow flash again
3)Naruto said, exactly as i learned from my dad.
4)Naruto was going top speed and instantly was behind Raikage with no movement the same way Minato did.
5)Maybe that Jujitsu Jiraiya and the key frog were talking about is the FTG.Jiraiya said don't use that jutsu,I think that was the reverse summoning technique Naruto used on his clones when he was fighting Pein.The key frog said this would also complete that jutsu which could be the FTG,figuring he knows how to do a reverse summoning which is the first part of the FTG.
6)Everything Naruto has learned that was his fathers he's improved.
7)Kishi himself said Naruto was going to have three of his dads techniques.
8)with out Kage bunshin Naruto wont be able to zip back and forth from Division to divison etc etc, unless he had some sort of S/T ninjutsu.
True Rikudo Mode is Fast, but i think he would burn up to much chakra if he kept running to every base.
9)Minato was physically fast and had the FTG, as far as we know he didn't have any other speed techniques.
10)How would that overpower Naruto,he still won't be able to beat Sasuke before Itachi's eyes?let alone 6 Jinchūriki with the Mangekyō Sharingan, and the Rinnegan.