Generally tax structures should be set up to tax the most wealthy entities first, and the poorest last, by my understanding. The wealthiest entities are going to be corporations and their leaders and they don't live where the teachers do.

So, from the perspective of businesses and individuals that live where the teachers do, yes, the largest taxpayers do usually burn money.

(Quite literally, in the form of things like very expensive-to-operate private planes, such as to attend the recent 'super bowl')