How would you "transfer" them? Some people need places to stay in the short-term and don't want to own a house. Also, it's not the government's house to "transfer".

Why don't renters own their own property? Lack of capital to build or buy. Guess who has the capital and uses it to establish the supply of rentals either directly by building or indirectly by paying someone who built it and enabling them to build more?

Even if you think the perpetuation of capital unfair the realities need to be acknowledged in order to even begin to think of a viable alternative.

I suspect that what you'd find is both slightly fewer houses available for rent and more disorganized, part-time, hobbyist landlords in the market. I believe both of these factors would tend to harm renters.

I lived in houses rented by these part-timers and they were pretty haphazardly managed compared to the [fewer] times I lived in clearly corporate-owned and managed properties.