I think that Bart makes some excellent points, as usual .
Except!... Coticules do leave the best edges
Of course, that's a personal preference thing
+1. Coticule edges are pretty damned good. I think that to get the best edge, the proper hone needs to be chosen for the steel. Coticules tend to produce consistent results so about 1/3 of my razors are honed on them. There are, however, smoother, sharper edges to be had out there. YMMV, IMHO, etc of course.