I'm familiar with the US system as it's implemented in the National Parks in the western states. No limitations on day hikes but overnight camping in the backcountry requires a permit and sites are limited and designated. Canyoneering in the parks requires a permit and, again, numbers are limited. The popular canyons are allocated via lottery. Same goes for backcountry campsites in Yellowstone. Maybe we need to consider something similar for popular areas.
I think it is unreasonable to expect a provincial parks system to achieve the level of enforcement and regulation of a national park. Limiting overnight campers won't reduce the crowds as the vast majority are daytrippers, nor will any park-based regulation reduce complaints about areas such as Semaphore Lakes.
Not to mention the fact that regulating or restricting daytrippers is unheard of for 99% of the trails of national parks. When it does happen it isn't for something as mitigatable as "not enough parking on a sunny holiday weekend".