seems you're getting unnecessarily hung up on the "how" of it.
planes fly but not like birds. does it matter from an "object moved from point A to B through the air" point of view? not really.
LLMs are kind of the same. it's obvious from even the most cursory examination that they're doing something quite different to statistical word mashing. is it being achieved in the same way as your gray matter? no.
in a black box sense, does it matter? also no.