I'm a lower-rev guy as well, and my Reign is stupidly strong downlane and lets me move deeper inside than all my other equipment and still carry. So I doubt that's your problem. More than likely, this drilling is too weak and low-flaring to allow the strong pearl coverstock on the Reign to do much. Again, hard to say how weak this layout is based on your PAP, but for most bowlers, that's a low flaring layout. This creates a lot of length, but also it tends to make the ball labor a little bit. When the lanes get dry, you'll probably notice a big difference (the Wizard will want to hook too early and not drive through the back part of the lane compared to the Reign), but especially since it's a blended house shot, it's going to just make them overlap more.
Have your ball driller actually watch you throw both balls, explain to him what you actually want, and he'll probably end up redrilling the Reign I'm guessing to put a stronger layout on it. You may also go to another ball driller for a second opinion. Normally surface adjustments are the recommended thing to do when a ball isn't working well, but if you're having trouble getting a highly polished skid/snap pearl to do much when it finds friction outside, that tells me the drilling itself is just wrong and you're taking too much of the core's influence out of the ball.