I could believe (and maybe someone in this thread has data!) that in some extremely over-constrained markets that units are disproportionately used for short-term rentals. But I haven't seen any numbers. And in those cases, you still should be building homes to solve the root cause problem.
Americans persistently seem to want to find any reason at all to absolve themselves of responsibility for the housing crisis. It's investors! It's short-term rentals! It's corporate landlords! But it's never the locals who oppose construction.
And my question remains, which is more valuable to society, short term rentals or homes?
You're also failing to process my point: that banning short-term rentals is an ineffective lever, not that it won't have an epsilon of impact. Yes, you will increase supply by a tiny amount relative to the shortage. It will have near-zero pricing impact because the magnitude pales against the problem.