We have limited courts in our area. There is only one club that you can be a member of if you don't live in the neighborhood that has courts. Mostly people play the public courts. Because we have so few courts, you can pay and reserve courts. So, I reserve courts for leagues some times and a tennis pro teaches out of one set of courts and reserves courts. In the circumstances you state, he would send you down a 1/2 a mile to two other courts to see if you could play there; or he would let you play until he was ready for match play for his kids and then he would kick you off.
We all work together.