From the article: “...change the law that now allows sellers who do not have a federal license to sell guns to individuals at shows, online and elsewhere without conducting background checks.”
Is there actually such a law on the books, or are they complaining that there is not a law forbidding all sales without background checks? Not the same thing.
In the state of Washington, in order to buy a gun at a gun show you have to be a member of the organization that puts on the shows. To be a member you have to pass a background check. So there was no “gun show loophole” in our system.
Of course last year our dumb voters passed the new law requiring the fee and background for any gun “transfers”. A transfer now includes letting my adult son shoot my gun at the range, letting my wife borrow my gun to put in her purse, giving it to a gunsmith to let him look at it, etc.
Of course nobody worries about it. Except the gunsmiths.
Private sales are legal, and no requirement for background check. That said, private sellers are aware and required Drivers License and/or carry permit (preferably) to place the buyer under scrutiny, like an e-verify. Some even do an e-verify, like an employer would.