Disabling the cameras would make it much harder to identify and catch the thief and therefore recover the stolen property. And so, on a balance of probabilities, 'but for' disabling the cameras the damage (loss of property) would not have occurred.

I see what you're saying, but there's a strong argument to be made for finding the camera-disabling guest negligent. If I was advising a client I would never state things as matter-of-factly as you did, but maybe its okay in the court of HN.