From my past experience with cats, they tend to dislike people approaching them suddenly for reasons that I've seen and heard from some documentary but have forgotten what.
Two nights ago when I came home from work, there was a cat lying below my apartment and I thought that it would be fun to play with it.
I crouch near the cat and tried to gain it's attention (Was actually hoping to pet it) but it just looked at me all funny. So I tried to approach it and it ran immediately down to the nearest drain possible.
Not only that, a couple years ago, I actually had made friends with some cats near by neighborhood and would regularly go feed them. I can say that when cats are scared, they might have a tendency to find enclosed space to hide in - which could be why cats like boxes.
That, or I'm just blabbering nonsense.
Also, cats are very unlikely to make mistake when running away. Not that they won't, it's just unlikely for them to do so. At least from those that I've interact with.