Cheats aside, are there any competitive games that include Uber-like rating system? Meaning that you'd need to provide feedback whether you'd play with your opponents/teammates again after a game.
In higher ELO, people would target good players with "avoid player"^1, effectively soft-banning those people from match making because the pool was small enough. They would still get put in matches eventually but their queues would blow out a lot.
From memory it did not have an explicit "match me with this person" button, but you could thumbs up players in the post-match podium as well as endorse them which may have soft-factored into matching you with them again.
\1 I think it was called this. It was a general "bad attitude" marker, not a "bad team mate" or "bad opponent" marker.
Then there is just the endorsement system, which is just a level from 1-5 and you can endorse people you liked playing with. It doesn't really do much in matchmaking but you can't do certain things if you are below a certain level (I forgot what all it was but you can't make (public?) custom games if you are too low and I think text and voice chat could also get disabled if you are too low).
The avoid system is now more flexible. You have 3 pin slots for people you never really want to see on your team again, plus 12(?) regular avoid slots to avoid people for a week at a time like usual. In situations where too many avoid conflicts occur and the matchmaker struggles to create a match (e.g. high ELO), it will start to ignore people's avoid slots in order of (last regular avoid > first regular avoid > pin slots), i think.
Cod MW2019 would occasionally ask, but once every X game IIRC.
I'm not sure it would be better than just reporting people with undesired behavior.
But not enough to avoid, as you’re here.