The steps to good accuracy that apply to bolt guns do not always apply to AR's. What gives good accuracy in an AR is the bolt/barrel lockup. Bedding and tensioning various parts may help that lockup, but it's not about the movement between the upper and lower, it's really about the bolt/barrel. I could see how excessive movement could be a problem based on the long lock-time of the AR, but I bet a JP speed hammer would take care of that as well.
Remember, the AR was designed as a battle rifle and therefore everything is designed to be a little "loose." A buddy of mine built a varmint rig from a Model 1 parts kit and he runs the JP tension pin and swears by it. But he's shooting for varmints. I don't see the point on my 16" M4 (plus I can't even get an accuwedge in). If it's bothering you, then get an accuwedge and try it out. It might work, it might not. You could also try the tensioning pin and see what that does.
I read in an article one time that the upper and lower receivers of the AR are just there "to keep the parts from falling on the ground." AR's can be extremely accurate, but remember they need a lot of refining to become so (much like bolt actions after WWI) since they were not designed originally for pinpoint accuracy.