Both good arguments for decommodifying housing. :) Your pay shouldn't be the determining factor of where you can live. In fact, if you get paid more, you can afford better transportation, so you should arguably live further away than a store clerk or a janitor.
However, that kind of policy would also hurt society by discouraging mixing of people with different jobs, so really housing should not be based on pay at all. First come first serve seems more appropriate unless there's a demonstrated hardship.
American housing policy is literally based on not letting people mix at all, since the middle class ideal has always been a nuclear family house in a suburb where you can't hear your neighbor and don't need to meet them. Even more so since the 70s, since people don't let their kids go outside.
Going full socialism would need some more, well, socializing.
However, that kind of policy would also hurt society by discouraging mixing of people with different jobs, so really housing should not be based on pay at all. First come first serve seems more appropriate unless there's a demonstrated hardship.