Either one will eat barrels if you push the loads as hard as you can. Back off a bit, let the bullet do the work, and your barrel will have decent life. The Navy was reporting that with A191 (190 gr. loaded to 3100 fps) the .300 WM was eating throats at a rate of .005" per 100. Which didn't make for long barrel life. With the newer 220 gr. SMK, being pushed to only 2900, the barrels are not disappearing so fast.
Initially the same thing was going on with the .338 Lapua. Initial factory loads, loaded to 5.56 pressures it seems, were going only 600 rounds before losing accuracy. A change in powder, velocity and bullets now has this load going over 1500k with required accuracy.
Something to think about here. Just because a throat is eroding doesn't always mean accuracy is going to fail. I had a 30-06 that had a good inch of the lands eroded. I could not seat a 208 A-max to the lands and have it stay in the case. In fact, it was over a quarter of an inch out of the case. Yet, at 300, 500, and 800 yds, this rifle shot 1 to 1.5 MOA. Hits on steel were never a problem @ 1000 and 1200 yds.
IMO, it is because of the slightly lower volume and pressure of the 30-06 that when it got hot there was never pressure enough to "blow out" chunks of the throat like a blowtorch. Same with a .308 IMO.
Keep your pressures reasonable with either the .300 WM or .338 and you won't torch your throat. An evenly eroded throat can still give required accuracy. If your choice is the .338 stick to .50 BMG powders and you won't see bad erosion. Std. slow rifle powders for the .300 WM.