Hmm. See I don't know.
Being Canonically Torched alive did Happen after having an enormous amount of chakra drain from teleporting dimensions.
Momoshiki kept up with Sasuke and Naruto, but not simultaneously.
Here's how I see it go In the Larger Scale.
Momo immediately summons the lava Golem, to which, Sasuke can summon the MultiHeaded Dog, the Crab, and The Rhino to Take Down. In CQC, apart from what was immediately displayed, Deva Path and Asura Path should close any gaps there are between them in CQC making it null and void.
None of Momoshikis elemental jutsu will have a way to destroy the preta barrier, so it would just be an extra supply or chakra.
His hands have also been shown to work like Android Absorbers, so I don't think it will deplete too much of Sasuke's Chakra.
The biggest issue is the TBB, but I wonder what scale Sasuke's CST would be on, and if he could survive using that to dampen the blow. However, judging that he was able to make nine Nagato Sized CT, I don't think it's far out to say it is at least 5 times stronger.
Sasuke, if you allot him the Six Paths, completely decimates the Area in a High Diff Scenario
Without it, he loses Mid/High Diff.
Important to note that it was a heavily exhausted Naruto and Sasuke who fought Momoshiki, both being robbed of their high scale abilities due to Boruto and The Kages being present.