Been thinking of this myself, and will likely go for the PC if I buy new.
The JM trigger is serrated, and many don't like it (I prefer smooth & polished myself). It's also forged, whereas the hammer is MIM. The hammer and trigger are flash-chromed, but I'm reading the hammer chrome doesn't stick as well as to the forged trigger, and tends to flake.
The PC innards are supposed to be all forged, but the 625PC I checked out in the S&W retail store had the hollow backing of an MIM trigger. The guy behind the counter just shrugged his shoulders.
The PC cylinder is shorter and has less mass, which means less inertia to overcome with my trigger finger. I have a standard 5" 625 I use for USPSA, and found the dynamic trigger pull of a stock 625 is a bit much for my trigger finger. Any 625 I own will get an action job anyway, but a lighter cylinder makes for a lower dynamic trigger pull, making it more shootable.
In favor of the JM, the full underlug likely reduces muzzle flip a bit better than the PC. Also, both have 4" barrels, but since the PC has a shorter cylinder, the sight radius of the PC is a bit shorter. OTOH, it might the PC a bit more nimble.
Both have interchangeable front sights, which is a very nice feature. The grips on the PC would have to go, though.