Flatter trajectory and more energy on the target, are important advantages of magnum rifles. Accuracy though, is a result of, among other things, consistency of ammunition, and minimal tolerances within a rifle barrel, rather than a cartridge's capacity. Generally speaking, small cartridges are easier to make accurate, but a small cartridge, the 6 PPC for example, might not be a good choice for big game.
But there are things that can help the marksman shoot a hunting rifle well, and the experienced hunter or rifleman endeavors to have these features implemented in his hunting rifle. A stock that fits does not make the rifle more accurate, but it certainly makes it easier to shoot the rifle accurately. A good trigger does not make the rifle more accurate, yet the marksman is more accurate with one. A good scope makes it easier to engage a target, but again does not make the rifle more accurate.
So it is with high velocity. A magnum cartridge is not necessarily more accurate, but high velocity simplifies the problem for the marksman who is concerned about hold over or come-ups at long range.