Inch by inch...
Once you start any kind of background check, it will escalate.
I lived in Australia for ~14 years (before and after their infamous restrictions). You had to present proof for purchase. Proof of actually having the firearm
of that caliber. To do that you showed your firearm license
listing each firearm you legally owned.
Actually you had to get approval from police department for that specific firearm, issued a temporary license, go to your FFL, pay and take firearm back to police station for them to verify it was the correct firearm and serial number to be listed on your permanent license.
Actually the only legal user of the firearm is the one licensed. You were potentially in violation if someone used your firearm. How ridiculous? I shot

targets for awhile. There were husband & wife members with each having licensed shotguns. If hubby was having his shotgun in the shop, he could not legally borrow his wife's to take to a shoot (unless she accompanied him and present while he used it).
Wonder if you can straw purchase ammo? Shame you cannot buy 22LR for your kid. Inch by inch...