All things being equal, lower axis rotation ("up the back") puts more roll on the ball. But things are never equal in reality...Axis rotation is not enough to determine drilling prefernces.
You have to consider external forces such as oil pattern, lane surface, lane topography, etc. Lighter and shorter oil patterns add roll. Softer lanes like Guardian add roll.
You have to consider equipment issues such as coverstock, surface prep., RG, flare potential, etc. A dull, high-load particle ball with low RG and high flare potential will roll earlier on its own merits.
You have to consider other style issues, such as revs, axis tilt, ball speed, etc. Higher revs means more roll. Lower speed means more roll.
I realize that my response hasn't really helped you. All I've really said is a long "maybe". If you need help controling the amount of roll in your game, let us know.
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Good luck & good bowling