Mixed feelings: If the owners have it out on AirBnB, they are doing so, apparently, to maximize profit or to more-tightly-segment the rental periods so that they can use it when they want to while making money from it the rest of the time. Running what is effectively a hotel, then, certainly comes with additional risk. (And expense: you have to clean it between renters.) However, I have to assume that even if the place is booked through AirBnB, there is a specific rental contract that is used that contains restrictions on use, and they vet the proposed renters more than just AirBnB does. If not, they are idiots.
Although the Hamptons have a long history of summer rentals to young people who don't know each other and share a place for the summer (a "summer share" in Hamptons parlance), I have to believe that East Hampton, or wherever this is, has strict rules against operating a hotel without all sorts of permits and required life-safety modifications to the premises. If the owners rented it on AirBnB for less than a month while they weren't there, it's likely to be legally a "hotel". I wouldn't be surprised if the village gets involved and ends this.
If the village doesn't, I have to believe the homeowners' insurer will.
Ultimately, the wrongdoer is the only wrongdoer, but the homeowners opened themselves to this kind of possibility by renting in this manner. It's very typical for homes of this size to be rented from Memorial Day to Labor Day, and there are real estate brokers who specialize in this kind of rental. By the time summer starts in the Hamptons, anyplace decent that is offered at a market rate will have been rented. These owners either wanted to save a broker's commission, make more money, or have a more-complex matrix of rental periods to allow for their own occupancy. Whatever it was, this is a wake-up call as to what the result can be. And the insurer and village are unlikely to let it happen again.