Well, yes, but then your asset protection has failed regardless of whether you are known to the bank or not. So the secrecy would be a non-factor. If a court finds that the assets shall be freezed, it should never be because of secrecy because secrecy cannot be relied upon.
Asset protection structures are tailored to the asset, the threat, and the initial asset holder. So it's hard to speak about asset protection in any general terms, since not everyone has the exact same assets and threats to protect the assets from.
If it is necessary to keep your name separate from the asset, that can be done by shifting it around a couple of times so that you no longer own it and the current owner didn't get it from you. That's different from secrecy.