You just discovered the "dirty little secret" of the PG-only shotgun:
What you have is an enormous PISTOL, which you can't aim like a pistol, and can't use like a rifle or shotgun.
You can't hold it out in front of you and sight down the barrel, because you can't properly support it or handle the recoil.
Pointing it from the hip fails at anything except the absolutely closest possible range.
The truth of shotguns is: You still have to "aim" them.
True, it's more on the order of pointing the gun, but you can't just point the barrel somewhere in the general vicinity of a target and expect to hit it.
Most people who fit PG-only stocks never actually shoot one on a REAL shotgun assault course.
They go out to the range and have fun blowing shot at non-moving targets at known distances, and think they're doing good.
A trip through a real combat shotgun course will quickly prove to you that a shotgun without a stock is a Hollywood Range Toy.
PG-only stocks DO have a place, but it's almost entirely on a SWAT-style door opener.
In these cases, the shotgun is really a TOOL, not a weapon.
All this is why most people who buy a PG-only equipped shotgun soon go to a full stock.
Bottom line is, with a standard stock you can actually hit the target quickly.
In most cases, a PG-only stocked gun is actually SLOWER to get hits with.