Not exactly. Info about the weapon IS provide to someone. Both you and the dealer complete the ATF Form 4473. The dealer adds the weapon S/N, make & mdl among other things. Once the transaction completes the dealer files the form and the ATF is at liberty to inspect it. Its not at all uncommon for the ATF to ‘browse’ 4473s looking for particular weapons (usually of the non-PC variety). They photocopy those and take them back to the office where it’s speculated they enter a (illegal) database.
Ah....
well, the forms I fill in have no place for that information in my state.
I’ve not purchased any guns through dealers in any other states - take that back, Oklahoma, but that was in the 1970s and I walked in, bought the rifle and showed an ID to prove I was a resident (D/L and Mil ID) and walked out. Actually bought two guns now that I think about it.
That was a long time ago. I didn’t do any paperwork for anyone.
Here in Colorado I fill in the 4473, they ask if I remember rightly, 5 questions about whether or not I use drugs or have a felony charge against me... and a couple related things. There is a front to the paper work, and no “backside”. It’s yellow.
Then again, I haven’t bought any new weapons in some time, so not sure if that has changed, but I don’t think so.