I think it really comes down to two things.
Rifle form factor: chassis and barrel length
Ammunition: factory only or reloader
Both cartridges respond well to reloading but honestly compared to factory, the 6.5 PRC has more to gain. The weatherby probably has better factory ammo it just costs more. I’ve been disappointed with Hornady 6.5 PRC ammo consistency and velocity relative to box stats. I have not heard this problem with the 6.5RPM
Rifle form factor. The 6.5 PRC is more readily available in short barrel or chassis rifles. The 6.5 RPM was truly built to fit in a small diameter long action (Kimber 84L and MK5 6-lug) it will work in any standard bolt face long action, but the thought was light weight maximization. Weatherby generally puts longer 24”+ barrels on the 6.5RPM. Two possible exceptions would be the backcountry guide and Capra rifles.