For your consideration ...
But aren't property taxes assessed at value? So if the home is demolished, one would think that would affect the value of the property.
The only way this would apply is in the case of razing, (demolition/removal), of a house, (requires a permit), from the land and restoring the land to its original state. At which point only the land would be assessed for property tax purposes. This btw is rarely done.
Properties are assessed at their perceived value, yes. But even a destroyed 4 bed, 3 bath, with finished basement home on 1 acre, is still listed and assessed in the State's assessment system as a 4 bed, 3 bath, with finished basement home on one acre. It is assessed as such, even if left destroyed for months on end regardless, because, it will be there again after being rebuilt.