Respectfully, you don't need the physical title in hand to be considered the legitimate owner. It is not a bearer asset. If you lose your paper title, you don't lose equity ownership.
I didnt mean to argue about this. I really just wanted to comment that I think you have accurately identified a legitimate problem in some local housing markets, and while I agree some solution is needed, I dont think that a broad ban on renting indebted houses would solve more problems than it would create.