IIRC the muzzle brake used to be removed and hung off the muzzle and droop was measured with a clinometre for the 105mm L118's in service now. It was called the droop measurement and had to be calculated and solved for different angles of barrel elevation. The brakes weighed over 30 kgs iirc at the end of a 19 foot barrel. The difference in barrel droop with and without the brake was amazing.
So IMHO harmonics or whatever of said barrels must be influenced as you are adding a weight that can have a couple of different contacts along the barrel.
Especially in the case of an overbarrel supp.
It is however a consistent weight and contact, therefore it stands to reason once POI is adjusted for, it should, on most occasions shoot said load as well.
If not it has to be an influence the supp or machining has caused that has effected the barrel adversely. Or it has effected the way the gases are influencing the projectile. No?
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