No, if UK leaves the EU then the 3-5 million workers would need to leave the UK, or apply for working visas.
It would mean there could be up to 3 million plus EU nationals having to leave the UK, this would free up housing, This would free up jobs, it would mean employers would need to pay more as there will be less workers in the pool to hire.
So less demand for housing but would leave high supply of housing pushing down rents, more demand for workers less supply of worker pushing up wages. Supply and Demand.
All meaning employers would go abroad with the cheap labour that we're losing.
You don't have a crystal ball, you just have a bias and it is very obvious.
