Earlier quoted context omitted.
If the only way to prove the lottery is legit is to make the names of winners public, why not just make up a name?
Because, and I'll quote from article, "she signed her name on the back of the ticket shortly after winning, and altering the signature would nullify the ticket." That is, she could have formed an anonymous trust, but now it's too late.
bachmeier is pointing out that you could accomplish this equally well by making up a name and publishing it as the lottery winner. The fact that somebody signed a ticket has no bearing on that.