I'm wondering how you'd get a hold on the variables involved.
Rental markets vary widely and in some areas there just are no houses to rent, or no larger houses.
So this is an issue. But to say that ownership is a class issue is pushing it. More than money defines social class. I know many people who are bona-fide upper class who have incomes not much higher than mine. Of course they inherited shares in houses and personal possessions I did not inherit.