Does "No Pets" really mean "no pets" or........

I have no idea why they use the term "no pets" vs. "no dogs" or "no outdoor pets".

Because it means NO PETS. The CG owner put it in their list of restrictions, it's THEIR CG, THEIR PROPERTY. They can restrict what ever they want.

Why IS it so hard for RV'ers to simply follow CG rules. :R

There's 10's of thousands of CG's out there to choose from, just find one that fits your needs instead of trying to camp under the radar for gods sake.