Earlier quoted context omitted.
I think this should set a precedent, and I am quite confident that it wouldn’t cause any problems other than the lottery being upset about losing publicity.
I think that's reasonable and would not be surprised if the judge says that the harm placed on the individual by the state just for participating is too large, legally. But I would also not be surprised if public's right to know trumps all.
The state gets their substantial cut--both through the lottery itself and through taxes--either way. Without having looked into the history of lottery practices, I'm pretty unconvinced that winners need to be outed to collect their winnings.