Thaks. I wanted to do exactly that: find the answer online. It is amazing that people (even in HN) think that LLM can reason. It just regurgitates the input.
I think it can reason. At least if it can work in a loop ("thinking"). It's just that this reasoning is far inferior to human reasoning, despite what some people hastily claim.
I would say maybe about 80% certainly not 99.99%. But I've seen that in college, some would only be able to solve the problems which were pretty much the same as others already seen. Notably some guys could easily come up with solutions to complex problems they did not see before. I have the opinion that no human at age 20 can have the amount of input a LLM today. And still humans of age 20 do come with very new ideas pretty often (new in the sense that (s)he has not seen that or anything like it before). Of course there are more and less creative/intelligent people...