Barrel burners have less to do with the speed of the bullet and more to do with the amount of powder going through a given bore, and barrel heat.
A 223 can quite easily exceed 3000fps with light bullets and it is far from a barrel burner, while a 7mm Rem Mag won't touch 3000fps with 180gr and it is well known for short barrel life. The whole barrel does not wear out at the same rate, the throat wears out much faster as a result of the rolling flowing vortex off the shoulder of the brass, the gases in that vortex are as hot as anywhere in the system and are moving faster then anywhere else, combined with unburnt powder creating an abrasive effect that is where the erosion comes into play.
Measuring the volume of powder being burnt per sq inch/mm of bore is a much better indicator then the speed of the bullet, though in general higher speed cartridges are more overbore.
A 270 Win is a bit overbore but not excessively so, 2000+ rounds would be the norm probably twice that if you did not need match grade accuracy.
The rate of erosion is not a linear equation, a .308 pushing aprox 45gr of powder through a .30 cal bore can have an effective barrel life in excess of 8,000 rounds, while a 300 Win Mag pushing aprox 72gr or powder through the same bore can cut that to 1,500-2,000.