I would slightly disagree with this assessment. The two are essentially ballistic twins, with the 7mm just having an ~20 grain, 0.020 inch advantage in bullet weight and diameter for a given B.C., with nearly identical velocities.
156 EOL = 0.679 BC
180 VLDH = 0.673 BC
150 NABLR = 0.634 BC
175 NABLR = 0.648 BC
Both calibers will run this B.C. class of bullet around 2900-3000 fps, and according to several load manuals, the 7mm might in fact edge out the PRC by a few fps in equal bbl lengths and bullet B.C.
Also, if you look at Hornady/Berger/Nosler bullet offerings, the 7RM wins the B.C. category. All three offer 7mm bullets with B.C.s higher than the maximum B.C. available in 6.5 mm.
For "standard" atmosphere at 3000 ft elevation, with transonic starting @ 1300 fps
147 ELDM @ 3000 fps = 1635 yds to 1300 fps
180 ELDM @ 2900 fps = 1780 yds to 1300 fps
IMO, if recoil is of no concern, go with the 7RM. It will do everything the 6.5 PRC will do, just a bit harder, heavier, and further.