That's a perfect way to put it. Teachers, students, general school staff don't really have money. Admins don't and won't give you time to pitch.
I worked in an edtech product for years (as an employee) and met a lot of edtech salespeople. It was quite shocking to see how little money these sales people did. Which let me understand that if salespeople ain't making money, nobody else ain't either (in a general sense).
Oh and let me tell you about how labor intensive it was to deal with them. They all wanted pilots. Each pilot required their student population data to be loader. None of the data platforms followed a specific standard. I talked to Clever (YC) and Google classroom engineerscat different trade shows and they confirmed how difficult it was. Ended up doing my own system to import data into...
Anyway, save yourself the grief. Build it if you must, but be very pragmatic. It takes a lot if money and influence to break into this market and sometimes thats not even enough. I know because the founder of the company I used to work with was both very very very rich and very very very connected. Product is currently a zombie (though the company continues with it forward).
