That is correct. The only info the FBI is provided beyond the buyer’s ID is whether a long gun or handgun. Other info is to stay with the FFL on his 4473.
However, I thought in order to purchase any type firearm from a dealer it has to be transferred through an FFL in the buyer’s home state.
I was under the same impression but it only applies to handguns, presumably so a guy could go to Alaska and buy a hunting rifle there.
Interstate sales/transfers of any firearm between private parties need to go to a dealer in the recipients state.
Intrastate sales/transfers of any firearm between private parties may be done just like selling a car, motorcycle, etc., UNLESS state/local law requires otherwise. In many jurisdictions, handgun transfers require a permit on the part of the recipient which may or may not require the use of an FFL to receive and transfer the firearm. It just depends on the state/local laws and jurisdiction.
An FFL may sell/transfer a “long gun” firearm to an out of state resident as long as their state law allows it. Normally, this is the case with bordering states but not always. The purchaser completes the ATF Form 4473, background check, etc., and any other legal requirements imposed by their residence state. Sale/transfer of a handgun MUST occur through an FFL in the recipient’s state whereby they would complete the 4473 and any other requirements and only after that, be given possession of the handgun.
Long gun v. handgun drives where and how the transfer can or must occur. Hope this is helpful.