The "gun show loophole" is a misnomer. It's not a loophole. It's simply the case in most states in the US for private sales you're allowed to sell your gun to another person without checking with the federal government first, something that's not true of dealers.
> A deliberate or accidental provision in tax law that allows an individual or corporation to be exempt from some provision. Most loopholes are deliberate and are created to ensure that the law is not draconian, to please a lobbyist, or for some other reason.
Sure, you can call it the "private sale loophole" if you want. Go for it. The agonizing over the semantic merits of the "gun show" part of the term is the same tactic as turning any gun argument into a debate over "clip vs. magazine" or "there's no such thing as an assault rifle" stuff - intentional missing of the point to derail a necessary conversation. Might even call that "dishonest rhetoric".