The wedge might be causing the hammer to not lock back and hook onto the disconnector. Essentially, the hammer is riding the bolt forward rather than reaching the disconnector and recocking. I have a hard time seeing how this would happen if installed properly, but it's just about the only thing that comes to mind. The upper/lower play is cosmetic only. It's never been proven that a slightly sloppy lower has any impact on accuracy, since all of your sights and barrel are both rigidly mounted to the upper.
If your boss really wants to fix it and an Accu-Wedge isn't working out, then the JP Rifles Tension Pin is the way to go. Pricy and a PITA to use if you're taking down the rifle a lot, but not a bad way to go if this is just a range gun. You just gotta have the hex key ready when you disassemble your gun.