It's a sound plan if I do say so myself. . .
I went out and checked the ammo boxes on your behalf. The ammo for the late 1940's No. 4 ended up with the .316. The totally-rebuilt-to-new-in-1953 (FTR-stamped) ended up with the .314. The P14 box was not properly marked, so that'll take a deeper dive into the records box. Like I say, all over the map. . .even in the same later production period.
But if you've got all three diameters, you're good on .30-06, 7.62x54R, 7.65 Belgian/Argentine, 7.7 Japanese, and .303. The widespread consensus seems to be that the 299 is an "accuracy without effort bullet", so it's a safe one to bet on.