I'd say since you're more or less where you want to be and you got the razor from a bit dull to reasonably sharp you can just continue with the coticule till you're happy.
Don't go to milky slurry though. See how much progress you can make with water and if not much is happening do a very light slurry and see if this would get it sharper.
The first touchup I did on a Lynn honed razor was with a really small thuringian (4"x1" or so). 5-6 very light laps seemed to be doing something, so I probably ended up with 20 or 30 by the time I called it good again. Once a razor is sharp it doesn't need much to be kept there.