Note: This below is not a "bash" against any company. Rather, a comparative statement between chambers. The use of "Norma" and "Lapua" must be used, as it describes CIP and SAAMI chambers.
I would tend to disagree with the brass life statement. .338 Norma brass should survive as long as, if not longer than .338 Lapua brass, ALL THINGS BEING EQUAL. But, things are not equal from the metalurgy standpont. Both companies make excellent brass, as good as or better than those presently manufactured in the US. However, they may anneal slightly differently, use different grain structures, or have different proprietary steps in manufacture. Those variables MAY contribute to longer or shorter brass life. But gas flow dynamics, heat localization, pressures generated and brass obduration against the chamber wall have more to do with inherent brass life, when considering the statement of which brass lasts longer, given a chamber called out.
Second, energy on target given both cartridges are very much on par. Given a constant magazine length of 3.7 ish inches, both loaded cartridges hold the same volume.
Third, there are certain non-voodo characteristics of the .338 Norma which enable it to surpass accuracy and barrel life characteristics, over the .338 Lapua. Before anybody cries fowl on that statement, I encourage folks who have indeed shot all those, and know those, to chime in. I can tell you I've got both barrel life and accuracy real-life experience with all above, and my experience has been the same as others experiences with both cartridges.
Fourth, and this is a big one..... Find someone, an actual shooter, who is perfectly happy with their .338 Lapua. Ask them or ask yourself if you've ever and always shot very consistent tiny groups... or if ~ every couple shots or so, you just can't seem to get rid of that flyer.... You won't hear that statement from those shooting the .338 Norma.
I have nothing to gain by either cartridge being superior. But I've studied both, I know both, I have a good bit of experience with both, and I just want to pass along my findings.