No.
Barrels wear out from the breech, where bullet velocity is lowest, not at the muzzle, where it's highest. The culprit is the high temperatures in the firing chamber, which creates a blowtorch effect on the leade and near riflings. And while it's in this superheated state, it gets bombarded with granules of flying gunpowder, like a sand blaster.
I understand the throat erosion thing. I’m curious about the pressure curve of whatever propellant is being used. To generate the kind of pressure they’re getting, wouldn’t a relatively slow powder be used?