Kagi works like you would expect. It searches first - and then if you’ve ended your search with a ? or configured it to always do this - it passes the search results into the assistant and gives you a summary. You can change the default model used for this if you think the cheapest, fastest model Google has is not good enough for the rare occasions you want any model’s opinions about your search results.

DuckDuckGo does the same but has higher limits