You have a better chance of more accuracy since the case is fireformed to your chamber. You just have to be sure you set your sizing die for proper sizing in YOUR CHAMBER.
Many other things can effect accuracy, powder, choice of bullets, how far you seat the bullet ogive from the lands of your barrel. Load small batches and try for accuracy. If not accurate enough, you have to experiment with different componets to find the best load. You will find that the best accurate load will not be the hottest load, somewhere below that most of the times. I have seen exceptions to this rule, but not that often.
Do yourself a big favor, buy a good book on reloading that will answer most of your questions and tell you how to work up a good hunting load.
RELH