To me, hunting, whether traditional or otherwise, should be about effectively and humanely harvesting game. In pursuit of that goal, shot placement reigns supreme.
The PRB from a slow twist barrel has proven to be the consistently most accurate, in my experience. The older conical designs (minie, maxi, Great Plains) have been an expensive mixed bag for me. Some days these bullets will shoot very well from a given gun; other days I get unexplained "flyers". As a result of this, I'm reluctant to hunt with them...though I have used them successfully.
OTOH, I have found that some of the modern conicals (powerbelts, some sabotted pistol bullets) shoot as well and as consistently as the PRB. Some even shoot to the same POA as the PRB from a given gun.
Since the goal is the effective and humane harvesting of game, the welfare of the animals harvested should trump the hunter's enjoyment of the "traditional experience". That being the case, I don't hesitate to use modern projectiles when the situation calls for them.
Bob