During less busy times this isn't an issue. The permits more or less act as guaranteed reservations.
https://www.nycgovparks.org/permits/field-and-court/request/...
> When to Apply
> If you are a member of an organized league, you must request a field or court for any formal use. Otherwise, our fields and courts are available to the public for informal use (pickup games). If you would like to reserve a field or court in advance at a specific time, you should make a request to ensure your uninterrupted use of the field.
On the other extreme end of things, one person hitting golf balls in a park can make the park unsafe for everyone else. At some point, the government institutes regulations to keep the park fun/safe/useful for the largest number of people.
Most of the people paying taxes, actually love the government for it. They dont hate it. This is because Permits effectively put a price to use the field, and it shouldnt be surprising that teenagers and immigrants are the ones with the least means to pay and also the ones paying little to no taxes.
So office workers are able to afford playing , while the immigrants and teenagers get kicked out.
Kids of affluent parents have no problems booking fields. But that's due to poor incentives: little kid coaches have a racket setting up nonprofit 503(c) ( which gives permitholders priority ).
If there is a problem with permits, it is there. Permits are subject to capture
> When to Apply
> If you are a member of an organized league, you must request a field or court for any formal use. Otherwise, our fields and courts are available to the public for informal use (pickup games). If you would like to reserve a field or court in advance at a specific time, you should make a request to ensure your uninterrupted use of the field.
No one is getting kicked out of fields. You don't need a permit for informal games.