I have no trouble finding campgrounds that will allow my 180lb. mastiff and my 60lb. pit bull. It just takes some common sense, call-ahead planning. I understand that many people are afraid of dogs, (big or small), they don't care for barking, pooping, etc.
Other people don't care for campgrounds with lots of children, older RVs, young people, etc.
There's different campgrounds for everyone, even clothing optional ones!
I do not blame the campground owners, nor ambivalent dog owners.
I would not want to force anyone to camp where they do not feel comfortable.
I believe the OP was looking for some advice about camping with a type of dog that may be on the breed restriction list, not a diatribe about why the list exists.