A dealer I used to work for had some ancient silencers from having an SOTmany years previously and had let it lapse. When we decided to do some NFA stuff, they weren't going to approve the SOT because they figured he wanted to get the SOT purely to transfer out the old stuff. Why that mattered to someone at ATF, I don't know. How much fighting it would have taken to get the SOT if they didn't like our explanation of "no, we want to sell new stuff, the old silencers are beyond worthless", no clue.
So yeah, you could do it, but I think ATF would catch on pretty quickly and throw stumbling blocks in your way to make sure it wasn't a long term plan. Exact terminology might differ, obviously, but they'd probably find something.
Like a F5 is for transfer to or from a LEO department, so whatsisname had a friendly agency that he'd transfer to, then they'd transfer to an individual, thus avoiding a F4 and $200, so it was tax evasion. (might have messed up some details, but you get the idea!)
I don't think there's much they could do if you quickly ran off 20 machineguns and then went out of business or something, but setting up a rotating plan seems like asking for targeting.