Constructive possession arrests occur about as often as holding a Brace up to your shoulder. It's a scare tactic some throw into the conversation to make an impact.
There is no reason you would have an stock in your bag at the range if you are shooting a pistol. Why drag around the dead weight? So goes the argument, it's basically made up to look important.
You have a stock at home? I do, matching buffer tube, as do hundreds of thousands of us. Nobody is knocking on the door to search our home with "constructive possession" in mind. If agents raid a house it's for other reasons - much more important things like terrorism or arms trafficking with NFA stuff - then they might dogpile a charge on top. No different that an alcohol check point in traffic - they are looking for drunks, they catch a few dead heads who give them lip over wearing seatbelts.
I will suggest that shooting the pistol with it held to your shoulder will give you more grief from the underinformed than having a stock hiding in your range bag. Point being the ATF spoke to that long ago. Fire away.
There are less agents than bad guys, their plates are full. But on the internet there are those who need to see the .Gov as worse than the Soviet Union and who make problems where none exist.