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If you have single grit hones like the Arkys then you could lap both faces. Use one side for your chisels and the other for your razors.

The course grit works faster. Then you go to finer grits to flatten the marks from the courser ones. Not much different than metal or wood.

Your choice of hones is a very personal matter with many variations. I personally would dedicate a set to straights.

That flattening stone is made for water stones.