Yes, overbore situations shortens barrel life
I did a barrel life comparison for 22 through 30 caliber cartridges used in competition to see what people getting best accuracy had for barrel life. Also asked Sierra Bullets ballistics man what barrel lives his test barrels got for best accuracy. Then looked at some things about bore size that related directly to their barrel lives. Learned that for cartridges getting about 3000 rounds of barrel life starting out at about 1/4 MOA at short range then getting worse to a 50% increase, about 3/8 MOA, which is the limit for competition and bullet accuracy testing, the round count was the same for all those calibers. The .222 Rem, .22PPC, 6PPC and .308 Win rounds all got about 3K rounds of barrel life to that standard.
The interesting thing was, the cross sectional area of the bore in square millimeters equaled the powder charge weights of these cartridges. So, I decided bore capacity was equal to the charge weight in grains that had the same number as the bore's cross sectional area in square millimeters. A 6mm bore's capacity is 6 x 6 x .7854; 28.2 grains which is what the 6PPC benchrest round typically uses for accurate barrel life of about 3000 rounds. One of the National Champions used a .243 for his cartridge winning it and he told me 1500 rounds is what he got for barrel life. A custom barrel maker predicted 1500 rounds for match barrel life when he started making them and that's about what all his customers got.
In comparison to what a lot of hunters get with their rifles and military standards for rifle accuracy standards, about 6000 rounds (double bore capacity numbers) for hunters and about 9000 or 10,000 (triple bore capacity numbers) for military service rifle barrels.
Comparing cartridges that burned about 41% more powder for each caliber, barrel life was half; if doubled, barrel life was 1/4th. Example, with a .308 Win getting 3000 rounds of super accurate barrel life with about 45 grains of powder, the .300 Wby Mag got about 750 rounds of accurate barrel life burning about 90 grains per shot. My .264 Win Mag target rifle got 640 rounds of accurate barrel life burning about 70 grains of power for each shot.
That varies somewhat depending on the heat intensity of various powder charges.