I know "LLMs are incredibly capable tools but not thinking" is a neglected middle position but I'm still on team "don't call it 'thinking'". (It's fine in prompts – I'm talking about when we describe the tool.) Anthropomorphism distorts our perspective.
If you want to read an interesting AI thinking trace try "I want you to suggest two poems that you think apply very well to the current state of GenAI models like you. Don’t just pick popular poems and back justify. Think hard about options first" in GLM-5.2 & Opus 4.8 (very different personalities)