I didn't even think about cats, I think I'd be irrationally paranoid at the sensors failing if I had small pets around. I'd want a gap at floor level as backup, maybe an aesthetically integrated cat flap. But I've owned remarkably stupid cats before who weren't very environmentally aware. Certainly taught me to close doors carefully and quietly.
I wouldn't worry about it crushing one of my cats but I would close it and then hear a plaintive "meow" from wherever it was sleeping inside :D.