I suspect that client-side AI might actually be the kind of thing that filters the crap from search results and actually gets you what you want.
That would only be Chat-AI if it turns out natural language queries are better to determine the kind of thing the user is looking for than people trying to craft more traditional query strings.
I’m thinking each person would can train their AI based on which query results they went for in unfiltered queries, with some kind of user provided feedback of suitability to account for click-bait (i.e. somebody selecting a result because it looks good but it turns out its not).