There is a typo under CampingPitch: "or parks a camper" should be "or park a camper".
Should also make more clear whether or not campsite (American English) is a synonym for CampingPitch.

Fixed typo.

I believe that the text sourced from Wikipedia sufficiently clarifies the difference between campsite (British English) and campsite (American English). Especially when campsite is not a Schema.org type, and each respective type description starts with the clear statements:

CampGround:
A camping site, campsite, or Campground is a place used for overnight stay in the outdoors, typically containing individual CampingPitch locations.

CampingPitch:
A CampingPitch is an individual place for overnight stay in the outdoors, typically being part of a larger camping site, or Campground.