This is actually a pretty accurate though exaggerated version of what happens in my mind.

The blind man variation is a lot "harder" in that I can feel my mind reaching for scrap paper and intermediate steps.

The first one is simple enough that I can start an "improv" and start speaking without fully parsing and initiating a world state.

I think the GPT models all do something similar. Without prompts to get it to think step by step it just wings it like a public speaker under pressure.