Ya, I figured. It would be depend on whether schools have alternate revenue streams to keep the school going during that "no bitcoin sales" periods but my best guess is that no schools have that and they operate on a cycle of collect fees <> pay bills/cover expenses.
Only a handful of school have investors that can readily sort of the bills while in that waiting period. Even if that's the case, lomg term, they would still sell bitcoin.
In my country public schools get cash assistance from the government and perhaps if the situation in the school is the same then they could use the funds as a measure to cover operating costs so they don't have to sell bitcoin every time they need money. Another situation is they could create a reserve fund for operating costs and that funding could be from outside investors for a year and that is prepared well in advance.
If the concept of accepting bitcoin is on the agenda, then something like this needs to be well prepared so that schools do not have to sell bitcoins all the time and this process will be a step in how schools can create more favorable policies towards accepting bitcoins.
The benefit is in the adoption and onboarding of new people to use Bitcoin.
Literally perhaps with the existence of a bitcoin acceptance system in schools, several other institutions will try to imitate it and this will be a much more optimal adoption.