Absolutely. Housing is so important. The rental market is a racket. The idea that landlords 'have to' put up rent when mortgage rates rise is ridiculous. They are basically saying that they want tenants to not only pay their mortgage but absorb the costs of buying their investments, yet have nothing to show for it after years of doing so.
I agree about bringing empty housing into play, too. It is wrong that people are sleeping on the streets when houses are sitting empty for years. I would also like to see higher taxes (maybe council tax, maybe a separate tax) for holiday lets, and limits put on what percentage of houses in an area can be rented out for holidays.
I know people enjoy renting them for holidays (I've done so myself), but they ruin villages that used to house communities, as by definition holiday renters are not part of those communities so the infrastructure dies. I see that a lot in villages around where I live. No GP, no library, no bus service, and even the shops often open one or two days a week out of season, and wall to wall cars parked on every lane in summer.
Maybe we could look at building holiday villages, with houses that have never been in communities, so holiday lets are not taking away from village life? That would mean that people would still have somewhere to go, and UK tourism wouldn't suffer.