There are 2 things we’re talking about here.
There’s the physical, mechanical operations going on during inference and there’s potentially a higher order process happening as an emergent property of those mechanical operations.
We know precisely the mechanical operations that take place during inference as they are machine instructions which are both man-made and very well understood. I hope we can agree here.
Then there’s potentially a higher order process. The existence of that process and what that process is still a mystery.
We do not know how the human brain works, physically. We can’t inspect discrete units of brain operations as we can with machine instructions.
For that reason, it is uncritical to assume that there is any kind of “thought” process occurring at inference which is similar to our thought processes.
Comparing the two is like apples and oranges anyway and is pedantic in a non-useful way, especially with our limited understanding of the human brain.