The point of ENJOYING a big bore is to handload for different classes of game or shooting.
I used to deer hunt with a peep sighted Ruger Tropical 375. Loaded with 235 Speers at about 358 Winchester power were real nice rounds to 250 yards, much younger eyes. The only reason to load real stout loads is to reach a long way for big game in North America. In fact I tink the 375 is often not noticed for its devestating long range abilities. I would choose one over any 338. A 270 gr boattail at a BC of over .400 is formidable indeed.
As far as short guns are concerned wounded animals will choose some heavy cover to hole up in. Thats were a short gun shines. I would sacrifice a 100 fps in such situations because one is dealing with almost muzzle velocity at these ranges.