Quoted:
In the past, I've always gone the more traditional route of filing a form 1 and "building" my SBR.
What is the process if you need a gunsmith to do the work required to transform a non-NFA pistol into an SBR (welding, fitting, etc.)? Who files for the stamp and are additional transfers required? What should be engraved on the item?
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Whomever is the "maker" is the one whose information has to be engraved. If the FFL is the maker or manufacturer, then it'd have to transfer to you on a tax-paid Form 4 after the Title 1 gun/parts are made into a Title 2 SBR. A manufacturer FFL is required. If the FFL is a manufacturer but not a SOT (not common, but it can happen), then the manufacturer would have to do it on a tax-paid Form 1, before initiating the tax-paid Form 4 to you.
If you make the SBR yourself, then you're the maker, and your information is what gets engraved. You do not actually have to do all the work yourself, but you do have to get it past the "making" point. For instance, you could take an existing rifle, file F1 and then on approval cut the barrel with a hacksaw to below 16", then send it to an FFL to be properly cut and crowned and maybe have the gas system tuned or adjusted. That is considered gunsmithing work and does not require a tax-paid transfer either way, though some FFLs will want to use tax-free Forms 5.
Further, if you are able to assemble all the parts together to complete the firearm, except for assembling it, then that is considered to be the firearm "in disassembled condition". It's where the legal definition of "constructive possession" originates. That's not entirely a bad thing, since if you file your F1 for something like an HK SBR which needs the trunion fitted and welded, you can simply wait for the F1 stamp to come back, then get your short barrel and engraved receiver together with the complete parts kit, and that assemblage is legally considered to be the SBR, which can then be sent off to a gunsmith to be assembled and refinished and whatnot, again with no tax-paid forms needing to be involved - just F5s if that's how the assembler wants to do it.