For instance, the article has a picture of trash piled up on the sidewalk in front of an AirBnB. Surely there are existing laws or regulations against this. People often mention noise from short-term rentals, there are regulations against this too. The benefits of better enforcement would extend beyond short-term rentals as well, and improve quality of life for all residents.
Other issues, like the "vomit covered floors", seem like strictly private issues to be handled between the host, guest, and possibly the mediation of the rental site.
I'm not saying that better enforcement should be the only solution (it can't deal with larger issues like elevated property prices), but it should certainly be a large part of it.