We too have been successful in the ballot three times and two of those were Southampton and Brighton away when demand was lower for holidays/shit show to get there.
You'd expect it to be a roughly normal distribution if truly random, with some folks getting none, some almost all and most getting about 8 or 9 (when you factor in number of members and tickets).
I have loads of actuaries working for me, was thinking might get one of them to work out the probability of only being successful three times.
Wouldn't surprise me if it wasn't random. Not maliciously so but just by ignorance. It's hard to select truly randomly.