TrxR,
Well, technically, yes, but probably not for the reasons that you're thinking. Given the same chambering, I would expect a fast twist barrel to be the first to go, but not because of the twist itself, but what you're shooting through it. You go with a faster twist to allow the use of longer, heavier bullets. THAT'S what washes out the barrels; the heavier bullet weights. If I do up two 308s, one with a 1x14" barrel and the other with a 1x8", the 1x14" won't see any bullets heavier than about a 168, because that's all it's going to reliably stabilize. In the 1x8", I'm probably going to be running a steady diet of 210s, or something like that. It's the heavier bullet that does the damage (as sleepygator mentioned) since it takes longer to get the greater mass of these bullets moving down the bore. All that extra time, the high pressures and heat of the burning propellent is confined in the throat area, doing its dirty work. The lighter bullet moves off the seat faster, and gives those gasses less time to do damage in that area. Take a look at a shot out barrel, and that's the first thing you'll see through a borescope; 85% of the barrel looks like it's brand new, not a bit of damage, while that last 15% or so, just ahead of the case mouth and leade, looks like badly cracked asphalt that desperately needs repaving. You just see this damage quicker when heavy bullets are being used.
I should note that this applies even when using the "same" powder. Say, IMR4895 in the 168 loads, and IMR4350 in the 210 loads. Same chemical make up, same amount of energy per grain, same flame temps generated for both, but the barrel used with the heavier bullets will show significantly more wear and flame damage.