Mike, my experience with the .338 x .378 is that if your dad tries to feed any bullet over 250grs out of the magazine they're going to be too deep in the case. The two 300gr Smkhp loads that I use are 3.9" and 4.0" O.A.L. and have to be single loaded. I think the 4" load may have a very slight edge in accuracy.
I tried some 250gr bullets. My rifle didn't like them, but as I recall, they also had to be pushed back behind the neck into the case to get to magazine length.
My rifle did like the 225 X bullet factory load though, and maybe the 225gr TTSX bullet could be pushed back just far enough to go into the mag without hurting accuracy. If the factory loads a 225 TTSX, the odds go up that it will work O.K.
I'd like to know what you end up doing, Tom