Reasoning as we know it could just be a mechanism to fill in gaps in obviously sparse data (we absolutely do not have all the data to render reality accurately, you are seeing an illusion). Go reason about it all you want.
The LLM doesn’t know anything. We determine what output is right, even if the LLM swears the output is right. We “reason” about it, I guess? Well in this case the whole “reasoning” process is to simply get an output that looks right, so what is reasoning in our case?
Let me just go one ridiculous level lower. If I measure every frame the Hubble telescope takes, and I measure with a simple ruler the distances between things, frame by frame, I can “reason” out some rules of the universe (planetary orbits). In this “reasoning” process, the very basic question of “well why, and who made this” immediately arises, so reasoning always leads to the fundamental question of God.
So, yeah. We reason to see God, because that’s all we’re seeing, everything else is an illusion. Reasoning is inextricably linked to God, so we have to be very open minded when we ask what is this machine doing.