Well... the Walkers can hold more powder, so if you wanna maximize power levels, it's the Walker. That said, very few people really want to touch off a revolver with a 60 grain charge in it more than once. Also, the Walker's loading lever often comes loose under recoil and locks up the cylinder. It's a design defect that even the originals had. Remember, it was designed in what.... 1847? It was the first practical revolver... or some would say anyway.
The Dragoon(s) had a more effective loading lever that did not release under recoil. Their sights were better as they actually had a front sight and not a bead/post. They were also a bit lighter than the Walker. Other than that, they are very similar revolvers. Both of them were considered "horse pistols" and were commonly carried by a horse in a pommel holster. They are both very heavy guns.
If you plan to carry it in a belt holster, I implore you to consider the Colt 1860 Army instead. You can load up respectable charges capable of doing whatever you might task a revolver chambered in .44 Special or .45 Colt to do and it won't require you to visit a chiropractor after a day of carrying it. Along with the 1851 Navy, it was kind of the first practical man-carried revolver.
Years ago I acquired a Walker made of stainless steel by an Italian company now out of business whose name I cannot recall.... something San Marco (sucks gettin' old). It was dirty and missing parts, but I manage to clean it up and scrounge the missing screws. I fired it with the sixty grain charge once, but only the one time. Charge weights of forty to fifty grains are more practical.
Getting the things to shoot where they look can also be problematical in my experience. My Pietta 1860 Army hits right on the money with standard charges of thirty grains or so.
I have long since sold my Armi San Marco (yea! memory is slow, but not broken) Walker, and honestly, I don't really miss it.