RE: cracked, and split primers
The flash hole could be either too large OR too small and cause those symptoms. Doesn't happen to have a domed breech plug does he?
He is swabbing the bore after each shot isn't he? I would think he is given his reported groups - but you know how that goes. Some T7 crud buildup can cause excessive pressure - this I experienced first hand right after the powder became available. I was shooting loose powder though.