"One giant physical process" where each human is a subprocess... That is spot on.Either they are identical (share an identity - i.e. are the same thing) or they are not. If you just say they're close enough for all practical purposes, then you end up with a class of instances none of which can be said to be identical to the class, and concepts end up as non-physical after all.
But Togo, no side can win or lose by this argument because we don't know if the processes are identical.
We know that all the conceptions of '2' everywhere in the world are not usefully understood as one giant physical process.