But... Chrome does do this. They're just not labeled as ads.
Type the letter "K" (or any other single letter) into your Chrome search bar on a fresh profile and tell me what you see. Because I see an awful lot of "contextual suggestions" that are not really any different from ads.
There's no way that's a decent no-history guess for what is intended.
But I do get the feeling that "Kahoot", a mobile game I've literally never heard of, isn't an organic result.
https://i.imgur.com/2uREs6u.png
I think it may be your own history popping up there.
Also, not really related, but from my experience, Kahoot is really popular in education. I bet at least 80% of my classmates in college have used it at least once. I am a bit surprised you never heard about it.
Mozilla is still dependent on Google for funding, so the situation is already bad.
It's still pretty fresh, so it's possible my opinion softens later, but right now I'm thinking it's appropriate to consider Chrome and Firefox pretty much equivalent on 'ethical' (or whatever you want to call it) grounds.
Google is far more of a concern than Mozilla, but at this point it feels like Chrome is out to get you less than Firefox is.
I nearly acted on my impulse to start switching everything over to Chrome. The only thing that saved Firefox here is the memory of some concerns about adblocking on Chrome in the future. I haven't looked into it much, so I don't know how significant of a concern that is. But functionally no adblock is worse than being forced to turn off user-hostile options, so, here I remain. I guess. For now.