What is it with cats and closed doors? My cat Wiggin cannot stand for a door to be closed. Even closet doors. He'll sit in front of it and yell until I open it, he looks in, then walks off. He doesn't need to use it, just wants to know he can if he wants to, I guess.
Maybe Robert Heinlein understood cats better than I do. He wrote a great time travel paradox novel called The Door Into Summer.
The star was a cat named Pete, and he and his owner Dan lived in a big farmhouse with lots of doors to the outside. In the winter Pete would have to go to every single door, every day, and yell to be let out. Dan would open the door, Pete would look out, see the snow and cold, then walk away.
Pete would then go to another door and repeat the whole thing until he'd looked out every door, every day. Dan decided that Pete was convinced that behind one of those doors lay Summer.
I think Wiggin is convinced that behind one of those doors is an Opportunity, and if they aren't all open all the time, he'll miss it.
Not a bad idea for people, come to think of it.