Ackley did exactly that, with a .30/06 ctg. and successively larger diameter bullets, with the then normal 150gr.mil-spec load of 45gr. IMR4895.

He used 1250gr. .312's, .323's, had to use a chucking reamer to open up the chamber neck to hold a .358 150gr. bullet, all loaded and shot with 45gr. H4895. In each instance, he got an increase in velocity and reduction in pressure - go figure.

He noted, that by the time the powder charge hit peak pressure, the bullet was already up the bore a few inches and was the correct size.

Using thicker brass will reduce the sizing 'wear'.

Just remembered that Privi brass (was given some) has thicker necks than does necked up 8x57. In normal formed 8x57 brass, I was able to use up to .367" bullets in my chamber, however in the Privi brass, .366" were the largest usable. The groove diameter in my Husky is .370".