Some cartridges have more accuracy POTENTIAL than others. A good example is that when the .308 cartridge first came out, military armorers were chambering Garand amtch rifles in .308 which could significantly outperform their best efforts with the same rifles chambered in 30-06.

In a $500 hunting rifle, it is unlikely you will ever see the difference between 2 such cartridges or any others for that matter.