I have friends that think the round is almost perfect for 1000 yard shooting, except; the only source for brass is Hornady. I use Hornady match brass in my 308, so I know THEY CAN make good brass, the question is 'How long will they?' ( I used their 338 Lapua also but, it is nowhere as good as Lapua). I would recommend buying cases in 100+ lots of ammo or brass and putting back a minimum of two lots. I happen to use a Sierra bullet, I buy them in 500's and 1000's, and buy the supplies for next years shooting last year (that means 2 years out) so shortages or lags in production don't effect me.
While I'm at spending your money; I would say buy Redding Competition Dies with Neck sizing collets (Lots of money, but buy once and forget it!). I try to have the collets for the range that different lots of brass will need ( I have 8 for 30 cal and 6 for 6mm and 9 for 22: thin wall vs thick wall and 3 for 338. You can spend from $10 each for HS steel to $50 each for solid carbide, with Titanium Nitride in the $20 range). The "Body" die allows FL sizing and exact neck diameter. Also for guns with a non-match chamber, you can set how much of the neck length you size (centers case in slightly loose chamber- like a tiny shoulder).
My experience with Browning rifles and good target ammo says that when everything is set up right, you should get 3 shot groups of less than 3/4" at 400 yards. You may not win the national BR championship, but you will exterminate lots of varmints and paper targets! I have won local matches with a Browning rifle, that the other shooters usually should have won. My rifle/ammo gave me just the edge I needed. Have fun working it all out! Ivan