The Ascent Solid appears to offer more overall hook but the Ascent Pearl and the Silver Recon have very similar specs. I would gladly listen to your views on whether or not there is anything to gain by getting the Pearl.
While the physics (RG, diff, and flare) of the cores on the Silver Recon and the Ascent lines are the same due to the common core, the performance numbers show a serious difference in cover specs. The Ascent's MOTIVator-Z cover is rated almost 80% stronger than the MOTIVator-X cover on the Recon (42 vs 25). With regard to the AP versus the RX1, both covers are pearl and will store energy through the thinning oil and both will release their energy when they see friction in the dryer part of the lane. However, the AP will have more energy and a stronger move at that point.
I hope I didn't oversimplify or discount your understanding. If I am mistaken in my interpretation please correct me.
OBTW...I agree with the Sigma Tour recommendation.
Just my two Lincolns,