Statistical optimization is a known process; one where we understand every step, and can therefore instruct machines on how to perform it. Cognitive reasoning is still today not understood (in the Von Neumann sense) by anyone.
For a straightforward example, when GPT-4 adds, what algorithm does it perform ? I have no clue, you have no clue and neither does anyone at open ai.
What we do is instruct machines to train. What they get out of training, we have very little idea.