Are you saying there is recourse for short-term rentals, but not for noise violations? If that's the case for some odd reason, then it needs to change.
There is no reason for short term renters or their neighbors to behave. For instance, at one AirBnB rental, my upstairs neighbor used to do jumping jacks in boots - maybe just to piss off the people below, I don't know. For that matter, renters often party late into the night on weekdays. Renters on AirBnB at least have a few options - they can contact AirBnB, they can file a chargeback, or they can eat the loss and move.