Yes, it is a tool. No, it is not "just search".
Is your CPU running arbitrary code "just search over transistor states"?
Calling LLMs "just search" is the kind of reductive take that sounds clever while explaining nothing. By that logic, your brain is "just electrochemical gradients".
What would you add?
To me it's "search" like a missile does "flight". It's got a target and a closed loop guidance, and is mostly fire and forget (for search). At that, it excels.
I think the closed loop+great summary is the key to all the magic.
I mean, actually not a bad metaphor, but it does depend on the software you are running as to how much of a 'search' you could say the CPU is doing among its transistor states. If you are running an LLM then the metaphor seems very apt indeed.