@Gloves
If bolting onto the buffer tube endplate implies a kind of thumbhole arrangement, a thumbhole design will prevent you from moving your right hand sufficiently forward and around the grip in a clockwise motion to obtain a proper grip - your thumb needs to have full freedom to go further round the left side or the grip will not be even.
No problem with a vertical grip as such, the key word is "free standing" which defines the pistol grip - so basically draw a line straight back from the lower part of the lower trigger guard and below this nothing, +/- a conveniently placed sling/loop.
The loop will secure the hand to the area, but cannot be called a free standing grip as it is certainly not free standing, but it will give the shooter the confidence of not losing the gun if unaccustomed to the grip. The design I suggest widens the lower trigger guard to include the ring finger purchase groove. Could even have a oblong perforation through to the other side for the ring finger to grip through (ambidextrous), as long as the lower trigger guard is fixed to the receiver by the mag - which renders it non-free standing.
About how far further back the hand needs to be (what with the fatter heel of the grip) the index finger should rest short of the magazine release, and the middle finger should still be sufficiently forwards to rest against the front of the trigger guard.
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