Similar ideas have floated around for a couple of years now and the pros/cons/ways to exploit discussed thoroughly.

Ultimately, you're exchanging one form of RNG for another and the final result is going to be the same - the players who didn't get the house are still going to be angry that they don't have a house. The only thing that will fix the problem is SE improving the housing system it's possible for every player to have a house.

Also, no one is suffering real world injuries because of the housing system. Please stop with the dramatic exaggerations.