Devastated housing costs which were on a decade long uptrend before AirBNB existed you mean? Or because its capitalized rentals to a higher extent than the normal purchase/rental market could do?
This being said. Their business and bypassing of local laws has made many housing markets in touristic city insanely expensive. I know, some win, some lose but still, it is a major concern.
It also creates a lot of incentives to increase housing stock though no? If suddenly I can make $4k/mo on an apartment I'm building instead of $2k, wouldn't I want to build more apartments?
We've tried just about everything other than being permissive with new housing. We refuse to scale our most popular areas to live, with the idea that what makes it nice will go away if there's more people. That just makes it exclusive and expensive.