Skate Park is the only facility from your question where people are allowed to participate in an extreme way because they can get hurt usually by falling.
Bowling Alley is not a facility for something extreme and neither is an extreme sport.
Golf Course also is not considering anything harmful or dangerously extreme because people cannot get hurt when they are playing golf.
YMCA is a place where extreme and dangerous sport is not allowed because it is a safe place where people can take classes or play some sport.
Honestly, I'm not positive myself. All I can say is that overworking your joints without enough cool-down time will put you at high risk for arthritis.