I think this would result in some sort of credit score, which would be used by countless institutions. At least people wouldn't be able to hide it from their family. When a person wins the lottery, their name is supposed to be public although there's ways around this.
Obviously, it would create a black market for anonymous gambling, and lots of people would use an intermediary.
Imagine you become an overnight hundred-millionaire through the lottery. Suddenly you need to worry about, e.g., friends treating you differently, strangers begging for money, and kidnapping. Would you really want everyone on earth to know your name instantaneously, with no time to prepare?