This is exactly right. Planning and reasoning have long standing meaning in AI, based on explicit knowledge representation and inference. It's a subspace of AI

This is exactly right. Planning and reasoning have long standing meaning in AI, based on explicit knowledge representation and inference. It's a subspace of AI that predates LLMs by decades. But LLMs don't do that kind of planning and reasoning, and CoT is very clearly not a reasoning technique in the AI sense.