Controlling/taxing Air BnB out of existence would actually be a positive as far as I am concerned...
They blight communities.
I also don't see any issues about rent increase being better controlled a the state of the rental market in this country is appalling.
I am a home owner and I don't see anything wrong with house prices going down either or landlord selling up. It means more people being able to buy their first home.
The obsession with high house prices in this country is ludicrous. Logically if prices go down a bit, so will the cost of your next purchase.
Ultimately I don't think there will be any signifiant fall though as we have a limited supply of housing in this country for a growing population.