At the end of the day most people would agree that if something is able to solve a problem without a lookup table / memorisation that it used reasoning to reach the answer. You are really just splitting hairs here.

What do "most" people thinking about LLMs, then?

The "hair-splitting" underlies the whole GenAI debate.

We have widely used benchmarks for reasoning. And no no it does not, you need get off HN.