The 30-03 used a long round nosed bullet that looked like a torpedo. It was really short lived, because in 1905 the Germans came out with their new variation of the 7.92*57 cartridge. This round had the effect of putting all others into the dustbin of history, and the other nations copied it. The 'Spitzer' round was pointed, lighter, and hotter. It gave MUCH improved performance out to some serious ranges, and gave most military planners of the day wood. Some remained with the old bullet, but likely only because they couldn't afford to change (8*50R in Bulgaria), or planned to change but never got around to it (6.5*52 Carcano).
Thus, we scrapped the '03, and quickly re-did it as the '06. The cartridge was changed just slightly, which made it unable to fire (fit) in the '03 chambered guns, whereas the '03 cartridge could be fired safely in '06 chambered guns.
IMO, the most impressive round of that era was the 7.65*54 Argentine Bala SS 1909 round, which is nearly a duplicate of 7.62*51, without the extra 1 cm cartridge length of the '06.