An SBR and a pistol are not the same thing. We are talking about pistols here, not SBRs. If you SBR it then you can do anything you want except for dropping in a FA sear, LL, DIAS...
These are all pistol builds we are talking about and none of them have been SBRed. To put the vertical grip on the pistol would be creating an AOW which is another NFA class of weapons and we would be talking about them on the NFA board instead of the pistol board.
By the way, with the free float handguard that is on my pistol I have dumped 60 rounds straight and it did not get hot. I have also emptied one beta mag and 4 30 round mags over about a 60 minute period on a 70-80 degree day and had no problems with it getting overly hot. Of course I let it cool down some between mags because I really don't want to wash out the barrel's throat, not that it matters in a pistol like this but if you take a break now and then it doesn't get too hot, at least mine doesn't.
The barrel, yes, way too hot to touch, but the handguard did not get overly hot.