I see. Sit on a cat, just not my cat, eh Duo? :P

Does this mean "do not sit on my cat" in the sense of "get up from my cat" (i.e., the addressed person is already sitting on the poor animal) or rather, and more logically, "do not take a seat on my cat" ("setz dich nicht auf meine Katze"; i.e. the addressed person is about to sit down on the cat, presumably without noticing it ...)?