I wouldn't say restricting new construction is negligible but it seems more like an SF/bay area problem. New housing is going up everywhere but if the airbnb rentals all went to new owners who lived there you would not need the new housing for awhile.
Another search states that there are 329,283 airbnbs in California in 2021. These should go to families first.
New York has 955,437 empty houses according to a quick search, and it's 4th behind Florida, California, and Texas. Take away renting out houses, short-term or otherwise, and sell those houses to people who don't have a first house, the crisis would away. It's simply greed.