According to the BC Parks website, it has determined the carrying capacity of the trails and parking lots of the parks covered in the day pass system. See the graphic below from its day-use pass general information page.

A cursory search of the park master plans for Garibaldi and Cypress for the term "carrying capacity" did not find any relevant hits related to non-commercial park operations such as hiking. According to its website, the master plan for Mount Seymour is not available online, possibly because it is so out of date. The Stawamus Chief master plan merely says its objective is to "promote the principles of carrying capacity and risk management to protect the park’s resources."

Parking at Cypress and Mount Seymour is virtually unlimited in summer since the large parking lots cater to the enormous demand from downhill skiers. Stawamus Chief is accessible on foot or bicycle from Squamish, and has large parking areas nearby with significant additional parking along Mamquam FSR and at Darrell Bay.