You said it! While we have not had to resort to the cone (on any of the cats we have had fixed), it is clear they are houdini's! One can slip a harness by first tangling the leash around an obstruction and then backing out of it! Another digs! So that when we created a place for him under our deck (it is 6 feet high, so it was not like we were suffocating him), he learned to dig his way out (until we put a concrete footing around the entire base!
The dogs (we have dog sat on occasion)? Lock them up and they stay put. Put them on a leash and they pull on it, but have not figured out how to "back" out of it!
But then dogs love you just because you are you so there is that going for them!