These are problems that any park that has high traffic has to deal with.
No, they're not problems of "high traffic". That would be things like too many people on the lawn above intended capacity, and what not.
The point is that by any common sense definition, the kinds of activities noted by the authorities constitute "abuse", not "use" (as there is no intended allowance of things like trampling flower beds, etc, at any level of capacity). And hence, in any place where you have actual working municipal governance, you'll find that they're dealt with appropriately.
If you don't see the importance of this distinction -- sorry, but you're very confused.