Well, yes and no. Twist, like everything else in black powder shooting doesn't necessarily conform to a simple rule. Projectile weight, patch thickness, powder load and rifling depth, in that order, all have some mitigating effects.
In general, slow twist (1:60, 1:70, etc.) will shoot a patched round ball more accurately than a conical projectile of the same weight from the same barrel with the same powder charge. And conversely a fast twist (1:20, 1:30, etc.) will shoot a conical projectile more accurately...
And the 'legendary' 1:48 twist is the so-called best compromise, shooting each equally well (or poorly, as the case may be).
But you can get good accuracy out of a fast twist barrel with a prb by reducing the load from that used with the conical. It probably won't ever be as good as the conical in that barrel, but don't give up on it.
Rachen, the operative word in your question was 'greatly' - given that, the answer is no, not greatly, especially with the twists you quoted. A little bit, yes, but not greatly. It would be significant, however, if you were comparing 1:70 with 1:20, same weight projectile, same powder load.