Gross generalizations, but I've used a lot of each over the years.
Norma is the "best" dimensionally. RWS is the toughest. Lapua falls in between. & BTW, Winchester can be pretty tough. If you live in the States, you can throw away a lot of Winchester cases & still spend about the same amount of money...
Not everyone finds joy with the highest pressure loads. If that's you, Norma will work just fine. In my .338/404 I use Norma brass; I load to just under 60,000 psi (calculated). Primer pockets are fine. If I loaded hotter, I'd have to break into my diminishing stock of RWS .404 brass. That's one RWS says they'll never make again, sigh. But if I load hotter, accuracy goes down, so Norma isn't a problem here.
With a .30/338, you'll likely find the best day-in, day-out powder to be H-4831. That from 3-times National champion Danny Brooks, who uses a stock .300 Win Mag. It took me 10 years to find the wisdom of his ways, as I wasted time exploring higher velocities and often higher pressures. I've only used RWS for my .30 chambering (8x68 necked down to .30), so I don't know if the new Norma 8x68 brass would work for me or not, but I imagine when these cases get tired, I'll find out.
It sure loves 4831.
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For consistency, I prefer RWS. I've had Lapus brass in a .308 that was the best dimensionally I've ever used, even better than the .22 Russian. But the .30/06 Lapua cases were so bad only 50% had less than .005 wall variation. RWS just hangs in there, with most all cases in whatever chambering running under .004 wall variation. And the primer pockets usually aren't so deep, which lets you use the Russian primers, if you choose.
FWIW