For one Bitcoin unlike Gold isn't a commodity meaning it can't be separated simply because of it's quality, source, or history as in the eyes of the wallet all of them are the same.
Bitcoin itself and any non custodial wallet is of course completely agnostic. A buyer, seller or third party platform facilitating a trade is not.
I'm sure there are many, many rent seekers looking for a hole to expand. This may be one of the prime ones they're exploring.
the real question then is how big will the premium be, and secondarily what will the world consider the real price to be---the set cartel price, or the unregulated spot price?
That would be extremely intriguing to observe. A price based on a market that most people can't or won't access won't make any sense for any real world usage when there's a likely bigger one in the real world.