No they wouldn't. There is no evidence, basically none whatsoever that logical can model reality or that general "perfect logical reasoning" is a thing that actually exists in the real world in real world relationships. None.
No animal we've observed does it. Humans certainly don't do it. The only realm this idea actually seems to work is Fiction. and this was not like for a lack of trying. Some of the greatest minds worked on this for decades and some people still don't seem to get it. Logic doesn't scale. It breaks at real world relationships.
We were using logic for image, speech, language synthesis and just had to throw it away once something that actually worked came about.
If logic was so great at modeling the world, we wouldn't be using LLMs like GPT-4 , we'd be using Cyc, the system with decades of a headstart.
Logic systems are that guy in the stands yelling that he could've made the shot, while he's not even on the field.
>included in the training set (sudoku being an obvious example)
LLMs can play sudoku just fine. https://arxiv.org/abs/2305.08291