It's worth noting that since your comment was made, the idea "AMP use leads to better search rankings" is now directly contradicted by the TL of AMP (cramforce)[1] in a comment this thread [2].
Also, FWIW, I don't have any issue with AMP as a technology, but I have a big issue with how AMP cache is used by Google.
So AMP at the very least indirectly impacts rankings (and thus impacts rankings), and it may directly impact the ability to appear in the carousel (which impacts rankings).
Would love for him to refute this, but I suspect that won't happen.
Note how over time more and more of the things that Google used to simply point to are served by Google directly. AMP is just another element in that strategy.