I still trust Kagi more than basically any free service though. There's no ads, and since they charge for search they at least have a means of making money that doesn't involve selling my data. Even if Kagi knows what I'm doing, I'm willing to accept that they're not dispensing my data quite as liberally as Google and Microsoft (and apparently DDG).
Please don’t. Just look at the paid services/products around you. Don’t give more PII to a browser vendor than is necessary.
I do generally agree with your broader point, however in 2024 I don't think it's realistic to stop utilizing search engines while not inadvertently giving up PII. I mean, I could, but I do think my life would be considerably worse.
At least with Kagi, they have some means of making money that doesn't involve selling data. It's entirely possible that they betray us and start selling our data anyway, I'm not completely naive, but at least it's not an inevitability like with ostensibly free services.
This rando's comments (https://old.reddit.com/r/privacy/comments/1bmubkd/thoughts_a...) on the filter bubble problem seems like a reasonable concern too. It's best for a search engine to know nothing about you and just provide the best results for what you asked, not what it thinks you want to hear.