When I paused the game, plopped a park in an existing busy path, remake the connections with anarchy - the cims immediately updated their path to use the new park's path. They left. And then no cim ever came in again. Making a second path around the park (being slower) makes them take it again and avoid the park. I noticed that some paths made with anarchy just don't work at all too, or at least their connection to a road doesn't work even when it looks like it should. Another anarchy path connected to a train station platform did work.

I'll have to try invisible paths. I really want to get people walking through those parks.