No, and you can turn them off in settings. I use brave browser. No one is perfect, you gotta pick and choose what is acceptable to you or not when getting into the prigsfy/security realm. If you try to find perfection, you won't.
For search, I use kagi. I love it. Worth the couple of bucks a month IMO. Free to try with some amount of searches a month on the free plan so you can just go fuck around and see if it is worth it for you too