Why are you on my back so hard anyway are youthat partial to .338
Accuracy in both rifles and statementsis a good thing. I amsort of a big bore fan, so I am aware how difficult it is to just magically pick up 300fpswhen you are talking about400gr 458 bullets. That kind ofgaincomes at a seriouscost to powder, case capacity, and recoil when you are talking big bores.
338WMs are a nice step up from standard calibers if you wish to continue with high power and not drop to lesser ranges. I am not necessarily partial just to338s but they are a nice step up from 3006as they haveheavy bullets with a good cross section, are reasonably fast and flat for their size, deliver plenty of energy yet are fairly easy on recoil. I personally find theydo put decidedly more thump on game than a 3006 or 300WM. They are not the onlychoice but are a good solid stepforward for someonelooking toexpand their collection above 3006. There are others.
As mentioned earlier the 375 and 416 arecertainly more powerful however mosthunters wont learn how to handle themrightso one has to be careful aboutrecommending them.Most hunters would probably be better off first moving from a 3006 up tosomething like a 338 instead of moving up to a 375 or 416. Then if they are comfortable withitand decide they want more then they they can always move up another notch later. Too much, too quick, not good.