If the government makes policy to allow huge immigration, it should make corresponding policy to ensure these people are housed. The housing crisis is not from organic population growth.
What you are suggesting is the opposite what they are trying to do
This would necessitate larger than desired tax increases on the politically influential.
Solution: Reduce the quantity and quality of benefits as much as politically possible, but also import more working hands to reduce labor prices. That it helps support asset price increases is just an added benefit.
No, it’s just very basic (completely orthodox) supply/demand economics