I'd be interested in that, too. I tentatively agree (but not just for disinterest, but entering more than one lottery, or changing plans), which is why I think ALL lotteries should make you claim the tickets within 1h or so, and if you don't claim them, they draw another winner.
I've been in the situation before where I won, but a friend had in the meantime bought me a rush ticket for another show, and I felt terrible that my lottery ticket went to waste, but there was nothing I could do about it because you didn't "claim" them online, so I couldn't reject it either and have it go to another person who entered.