Not at all. I also go to all sorts of concerts that don't allow cameras. It's the "how" that rubs me the wrong way.

Your state park would indicate "no vehicles beyond this point" and I assume if anyone starting driving on the hiking trail they'd be asked to follow the rules or leave.

That's different than insisting you hand over your keys in order to enter the park. That wouldn't feel quite right, would it?

That's a totally wrong analogy. A more accurate one would be when you go to the park, they boot your car and any motorized vehicles you brought on it, and you have to find someone to un-boot them when you're done.

In your analogy, the park is doing what the commentor says. Politely asking you not to do that.