We’ve been through the reservations for public parks thing before in SF, it is linked in Cory’s blurb:
tl;dr - video of argument between startup guys who booked soccerfield and the local kids who have a standing (no reservation) game.
Ultimately it is very hard to manage a public resource with paid reservations for something that is otherwise “free” for public use. Even seemingly low fees create a “pay to play” system that favors those who are willing to pay more.