It is a scientific fact that a cat will always be on the wrong side of the door.
There is a story that the brilliant scientist Sir Isaac Newton invented the cat door, because his cat was for ever pushing open the door of his attic laboratory at just the right time to spoil his light experiments.
If the door was locked the cat would howl and scratch to be let in and Newton being a cat lover, cut a strip off the bottom of the door and attached some dark fabric so that the cat could sneak in under it without contaminating the experiment.
According to the famous mathematical thought experiment, Schroedinger's cat is neither dead nor alive. So it's a cool concept if you don't like being locked into binaries. Not so good if you don't like being locked into a lethal booby-trapped box. And from the cat's point of view, there is no ambiguity at all.