I think you're right that there's limited context, but I'd still disagree on "doesn't know what you want". I think search engines know what users want within the scope of the context they're able to provide. There are two issues with that, one is the deeper examples you gave in another reply may be better, and the other being differentiation between legitimate search matches, and bad actors trying to match for things they shouldn't do.

For the former, I'm intrigued but unconvinced that it's what I actually want in a search engine.

For the latter, I imagine that's something that this search engine will need to contend with, although it could "just" be an LLM compute trade-off, where if you give enough results to an LLM to analyse you'll eventually find the good stuff. That said, SEO is going to rapidly become LLMEO and ruin the day again.