Not anymore, no.

Current naruto gets messed up by TSO

He needs six path chakra to touch it and not get immediately erased from existence

Nah

No

And does current base Naruto have any impressive speed feats?

He should scale above each of the boruto era gokage from his feats against fused momoshiki in base

Sick Base Naruto dodged light in the novels, although we don't know anything about the distance and things.

I think you actually can scale him above Teen SOSP Naruto who is FTL

Imagine kawaki learns a fire style rasengan