Well with the SIG brace when you add it to the pistol, it's still a pistol according to ATF certification letters for the SIG brace. That's why it's hot right now cause folks are able to use the brace on their shoulder. Not its intended purpose, Avoiding the whole SBR paper work. I feel sure that sig brace is going to lose ATF certification one of these days.
If you add a true butt stock or a vertical folding fore grip to a pistol you just created an illegal short barreled rifle unless you get paper on it.
The part I'm not sure on is turning a rifle into a pistol and vice versa.
Everything I hear is once it's been built as a rifle you can not make a pistol out of it, I'm talking here about non papered items, not AOW or SBR etc papered stuff.