So the official name of the winner would be XYZ LLC or something similar. Look up past winners, there are quite a few limited liability corporations listed there.
True but it would seem to take some time and some legal heavy lifting.
I’m thinking most folks who win aren’t always that sophisticated and the state lottery commissions probably aren’t that helpful in keeping them anonymous as they want the publicity of a real live, “ordinary” person standing up at a press conference holding the big check.