First and foremost, the label of 'barrel burner' for the .264 Win. Mag. has been proven to be fallacious for the last couple of decades, more like 4-5 really.
When this cartridge was first released, the powders available were not the best suited to be both economical and cooler burning. Economy of load was the way of the world then as it most certainly is now. Loaded ammunition and reloading data was and is guided by the powder/bullet combinations which provide the most profit for the powder and ammunition companies obviously.
The initial glory of the Winchester Westerner lost some of its luster due to poor reloading choices by the manufacturers looking for the longer range as advertised. But, as soon as this was discovered, the non-commercial (you and me) reloaders began the search for improved loading data which helped with the longevity of the barrels, not the claims by the manufacturer.
The current state of powder development has increased the barrel life of the .264 Win. Mag. through availability of those better powders and the continuing education of reloaders worldwide through the written texts as well as the terrific forums such as LRH.
Let this stupid label die once and for all.
Enjoy the cartridge and its performance!