That's a red herring honestly, because you can't actually do much with that entity until you get a tax ID (from the IRS) and a bank account (where KYC is very tight). The point being that from a tax standpoint these "anonymous" companies are pretty useless. They can however obfuscate ownership of assets.

Example: sure you can transfer your house into South Dakota LLC, and yes when someone looks up the ownership in records, they won't be able to see who owns that house, but there is no tax being avoided.