Some things like beaches/pools/golf clubs/etc. can generally be policed with tokens/keys and so forth. That is not generally true of all shared facilities in a neighborhood. And I'm not at all sure the local government should be responsible for anything that residents should care to share on a communal basis. Want a playground or dog park? That's the government's responsibility? Maybe. But now that's up to a broader section of voters.
>> Want a playground or dog park? That's the government's responsibility? Maybe
Yes, this is how it works pretty much everywhere else. Even my rural hometown with <1500 people has an elected park board that is responsible for parks, the swimming pool, tennis courts, summer rec programs, etc.
And the 7K person town where I live in, there are some conservation lands (no idea how maintenance splits up between town and conservation/commission and other volunteers), along with other conservation organizations. But dog parks, playgrounds, etc. just don't exist.