If premium means bullets that are shot into the chest cavity then yes.
I like this answer, so I'll add to it. Find a bullet that gives you the best accuracy out of your rifle and confidence to place your shot.
It might be a "premium" or it might not.
One gunwriter on here said "Shoot them in the front half". Sage advice. Although sometimes the bullet has to start in a less than optimum spot to reach the front half. That's where the premiums come in.........
So, if you had a rifle that didn't shoot your choice of premiums very accurately, but stacked a good garden variety bullet into the bullseye, which would you hunt with?