You didn't clarify your application/needs/desires. Maybe, just want 338RUM?? Go for it. If there are specific application parameters, then consider those. You don't want a barrel burner like your 300RUM?? 338RUM is just that on steriods......much over bore, barrel burning excess powder for the extra umph delivered. Unless a specific need for it's characteristics, I wouldn't go there. See the comparsion, features of the 300PRC versus other popular 300 cartridges, including your 300WM, following. There are many reasons to go 300PRC over 300WM. 300WM is still, and will remain, a venerable, serviceable, great performing old warrior. Great factory field ammo availability is a feature not available for the newer 300PRC yet.
This has been discussed before on LRH 300PRC vs 300WM. There are numerous advantages of the 300PRC ; numerous limitations, disadvantages of the venerable old warrior 300WM designed with technology, knowledge of 60yrs ago. 300WM is a fine round, but today there are better.....depending upon one's application, needs, and preferences. Here is a comparison of the two.
View attachment 213493
300PRC left; 300WM right
300 Winchester Magnum vs. Hornady .300 PRC
300WM biggest disadvantage is a quite short 0.72-inch "head height," which is the distance between the front of the case mouth and the cartridge's SAAMI maximum overall length. Ammo factories must load to this standardized maximum, which prevents factory ammo from being loaded with long, super-sleek bullets with the very fine, gradual entry that so benefits extreme-range aerodynamics.
In contrast, the .300 PRC is engineered with the latest cutting-edge cartridge design principles, and features a 1.12-inch head height, enabling the use of very long, low-drag projectiles without intruding inside the case. (You'll find this is a common thread throughout most of the following comparisons.)
The SAMMI throat of the 300WM is 0.315.....throwing a bowling ball down a hallway.....versus 300PRCat 0.3088......better bullet presentation to the rifling. 300WM is belted making headspacing less precise. 300PRC is a shoulder headspace datum line.
View attachment 213494Hornady .300 PRC (left) and .300 RUM
.300 Remington Ultra Mag vs. Hornady .300 PRC
This beast provides more initial velocity than any of the previous cartridges discussed, and has proven to be an outstanding elk cartridge. However, it's a bit too much of a good thing. Barrel life is short, and being aggressively overbore, the RUM can be finicky about accuracy.
Plus, it kicks like a demoniac mule, and requires a full-magnum-length action even though it has a short head height. This last fact makes it incompatible with really long-nosed, fine-entry high-BC bullets. Why not just shoot a slightly slower cartridge that pushes heavy, sleek bullets optimized for long range, and which provides less recoil and more performance way out there?