Earlier quoted context omitted.
There's 107 primary sources at the bottom of the linked Wikipedia page alone if you wanted to do the research towards a "full understanding".
It's easy to hand-wave the discussion away by citing a bunch of links, but taking a gander over that Wikipedia page seems to verify much of what I stated about bad statistics. Much of what's mentioned is comparing the median of giant groups rather than making an apples to apples comparison. That's the same bad statistical approach that lets activists claim that women make a fraction of what men make: they compare the…
That "perfect" study you are looking for in fact can't quite exist because you can't control for all variables with respect to any systemic issue and variables like career and education are likely too deeply connected co-factors with housing.
It doesn't sound like you have any interest in being convinced, and it sounds like you are happy being a contrarian here.