It is said that the Army Marksmanship Unit tested the effect of flash hiders on accuracy, and concluded that they could degrade accuracy significantly if the FH was screwed on tightly. They supposedly found the best accuracy when the FH was only screwed on hand tight.
A few months ago, I tried (unsuccessfully) to find the original sourse of the above. It sounds plausible to me, but I can't be sure until I see the original AMU report or other reputable source. Just the same, to be on the safe side, I did install the muzzle brake on my IPSC rifle using a lock washer that I did not allow to bottom out (rather than a peel/crush washer), and I locked in the index using red Loctite.
Perhaps this is a test that someone here with a steadier hand than I might like to perform... how does FH torque affect group size ?