In a town near where I used to live there is a country house set in a beautiful deer park. While owned by the lord of the manor, the park had traditionally been open to the locals to use. Until one day the lord at the time decided he'd had enough of the riff raff tramping through his grounds and put big iron gates over the entrance. This was so unpopular that the locals ganged up one night and threw the gates from their hinges. Wisely, the lord took the hint and the gates have remained open ever since.
Rich people limiting access to previously public spaces has rarely gone down well.