A properly installed FH should not have a negative effect on accuracy............
however.......
The USAMTU did a test on this very subject a few years back and found that the FH did, in fact, cause a small loss of accuracy when it was installed according to mil spec. That's about 25 ft. lb. tight. This test was repeated time and time again and a control group was used. They surmounted that problem by installing the FH only "hand tight" and fixing it in place with a few drops of Loctite 242 (blue) on the threads. I've done it and it works.
They figured that when the FH was tightened to mil spec it was actually distorting the muzzle crown slightly and that was causing their groups to go up in size. In the real world, most AR shooters will never be able to tell any difference because many of them can't hold hard enough, use ammo that isn't that consistant anyway, and many barrels are not capable of that kind of accuracy to begin with.
But you asked about accuracy
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