That's an interesting way of looking at it.
In your opinion, could the government legitimately impose criminal penalties on me if I falsely claimed to be a marine biologist to the guy sitting next to me on the bus? Let's say I'm only making that claim because I want his (brief) admiration, and not for any other reason.
I say there is no God given, Constitutional right to deceive, which is the issue before the court.
The Constitution does not give Congress the authority to regulate marine biologists. It does give Congress the authority to regulate the Military.