As barrels wear out from the breech end first from the hottest fire and highest pressure that erodes away metal and the muzzle end (where velocity's the fastest) has little if any wear, bullet speed has virtually nothing to do with barrel wear. Once the bullet's engraved, there's not much friction between it and the barrel.
But the number of rounds varies primarily with how well the rifle shooter and his hardware perform. Some folks are better shots than others. Some rifles are more accurate than others. And some ammo's a lot more accurate than others. The barrel life numbers will vary depending on which one of each is shooting along with the human's expectations. And extra hot, way too high pressure loads (over SAAMI specs) compound the issue.
Some years ago, I tracked barrel life for several calibers (bore diameters) and powder charges used for competition rifles and when their owners replaced their barrels. These folks had the most accurate rifles and shot them well enough to win the matches and set the records. All that data boiled down to a simple equasion.
If the powder charge weight in grains was the same number as the square millimeter area of the bore, barrel life was 3000 rounds before accuracy degraded by about 50%. A 1/4 MOA rifle at 100 yards (or a 3/4 MOA rifle at 1000 yards) would get a new barrel when accuracy was 50% bigger. Good example is the .308 Winchester with about 45 square millimeters of bore area and buning 45 grains of powder, barrel life was about 3000 rounds. That number is my number for bore capacity; the area of the bore in square millimeters equals powder charge for normal safe peak pressure loads at about 52,000 CUP or 62,000 PSI. Any more powder used in a cartridge was called an overbore capacity cartridge by my definitions.
Cartridges burning 40% more powder than bore capacity got half the barrel life. When twice bore capacity was used (huge 30 caliber magnums), barrel life was only 25% of 3000 rounds; 750, for example for the 7mm Rem Mag. My .264 Win Mag long range match barrel lasted 640 rounds.
Varmint and big game hunters typically accept less accuracy to start with for their barrels and they were happy with up to twice as many rounds; 6000 for cartridges at bore capacity for their bore size. Service rifles used for military combat situations had a much larger number for barrel life as their accuracy standards were less. Their bore erosion gauges maxed out at about 9000 to 10,000 rounds; three times that for a 30 caliber barrel's 45 grain bore capacity. And a big dangerous game hunter will be happy with his double barrelled .500 Nitro Express keeping its shots inside 2 inches at 50 yards all day long.
My numbers have been pretty much verified by Sierra Bullets' test barrels. Their 22 caliber and 30 caliber test barrels (.222 Rem and .308 Win.) both used powder charges about equal to their bore capacity of 22 and 45 grains respectively. They rebarreled their rail gun barrels used to test their bullets for accuracy at about 3000 rounds. When a new barrel was fitted, a special lot of bullets (called "standards") proved to shoot sub 1/4 MOA at 100 or 200 yards in their indoor test range would qualify that new barrel. Before testing new lot of bullets, some standards were shot with it to verify its accuracy. As long as those standards shot no worse than 40% bigger than they did when the barrel was new, that barrel was still accurate enough to accurately asses their production bullets. If that test with standards was close to 50% larger, that barrel was considered worn out for accuracy testing. That happened at about 3000 rounds for both their 222 Rem and 308 Win test barrels. Their .300 Win. mag barrel used to test heavy 30 caliber bullets got rebarreled at about 1200 rounds; its accuracy had dropped off enough to no longer qualify.
The powder's heat index also effects barrel life even when peak pressure's the same. Lower temperature powders give longer barrel life; higher ones, less. Quickload's data gives powder heat indexes for comparison.
Regarding the .243 Win., when it was first used in match rifle competition, barrel life amonst the top ranked folks was (and still is) about 1300 to 1500 rounds. Compared to about 800 for the 6.5x.284 used in competition, that's not bad at all. Hunters may well get twice that many rounds before they notice accuracy fall off.
For comparison, note that top ranked smallbore .22 rimfire rifle shooters rebarrel somewhere in the 30,000 round range.