Hence why I finished the sentence "and we have no evidence to suggest that is even possible".

I think it's exceedingly improbable that we're any more than very advanced automatons, but I like to keep the door ajar and point out that the burden is on those claiming this to present even a single example of a function we can compute that is outside the Turing computable if they want to open that door..

> Physical computers are only equivalent to finite state machines (ignoring the internet)

Physical computers are equivalent to Turing machines without the tape as long as they have access to IO.