I get your point and in theory it sounds good but I don't think that this is a good solution.
It'll push cheaters to low level districts which in turn will lead to making the experience for a casual/mediocre player EVEN worse. New players will be matched against a cheater and quit the game right away.
There are people running and teleporting, killing everyone in the districts so I don't even wanna know the numbers on how many people cheat less obviously.
The real solution is actually fixing the matchmaking and cheater problem by getting rid of EAC which doesn't even work and causes more harm to legit players than to cheaters.
If an update like this gets pushed and I get matched against even more cheaters, I'm pretty sure a lot of people would quit playing as it's already barely any fun getting destroyed btb in missions.
You rarely get actually properly challenging enemies near your skill level, either you get a complete cake walk of a mission where you go 20/5 or you play against ONLY golds and go 0/10.
Now add in an increased amount of cheaters and I'm out, as well as a lot of other players.