Theoretically, according to Bart's progression, the coticule can do all the work from setting the bevel to do the final polish.
I don't have experience using Bart's progression (I use a DMT to set the bevel), but Alex (LX Emergency) has a video which shows him setting a bevel and putting a razor shave-ready using only a coticule. He raises a slurry and then he uses some pressure to set the bevel on the razor, then he reduces the pressure and eventually ends honing the razor only with water.