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Yes, you want to stick with the known grit man-made hones until you figure out how the edge should progress as it gets sharper. 1000-grit level hone is essential if you are going to work on razors...

You can maintain your razors with the coticule, but restoring the edge on a junk razor is not really a job for that stone.
Also just maintenance is very different from honing. I'd say your best path...