I wondered about that, though my thought was the skill necessary to build it. Also the “registered” comment, CA doesn’t register firearms, do they?
80% receivers often come with templates that make them pretty easy to finish.
All FFL sales result in a "registered" firearm that can be tracked to you, the buyer. The FFL keeps the records for at least 5 years (most longer), Form 4473.
At present that information is not data mined by the fed... that we know of.
And they've tried to "register" ammunition as well, including a background check to purchase.
Crazy!