Accuracy for a hunting bullet is wasted on a piece of paper. Even if your group measured 1/2 inch or even less, that is not enough accuracy to put you in the top 10,000 shooters in bench rest competition. An 1 1/2 inch gun is more than enough to reliably kill big game at any realistic hunting distance.
Why worry about a group, just get a good performance bullet and put the center of your group in the crosshairs and go kill something.
I don't think anyone here suggested using a "hunting" bullet for benchrest competition. I also highly doubt anyone here is going to use one of those fugly rifles that weigh 17 pounds ("light gun") or an unlimited weight "heavy gun", both of which are placed in a machine rest and fired with very little effort from the competitor. Most of these competitors shoot "free recoil", which means they barely touch the damn rifle. The rifles "aim" is also adjusted with the rest. As you know, hunting is a whole other ballgame. Or should I say I hope you know. Give me a 1/2-1 moa. rifle and I'm happy, as it helps in the whole scheme of things. Also, not to be the bearer of bad news, but, a "realistic hunting distance" for you, may not be the same for someone else...
. This is where you need every 1/2" of accuracy you can get. Although the OP is vague, I think you may be reading into this more than what is necessary. He's just asking for input on whether a certain bullet weight is more accurate than another.