I tend to go the other way when sharpening, that is, I begin with the coarsest grit necessary and work 'down.'
(I remove as LITTLE metal as I can.)
For example, when using the Edge-Pro on a knife that I have never seen, the first thing that is needed is to make the bevel uniform. I use the 180 grit, lightly, and once uniform I never use the coarse a grit on that knife again.
Depending on the usage, I work down, 220, then 320, then 660. If the knife requires a mirror edge (like for EDC where paper and cardboard are the primary things to be cut), I then polish with the 4000 series tapes.
If I strop, like for a small nagging flat spot or a small ding, I use only a common white rouge and a few licks.
The only time I would use a 'diamond anything,' would be for shaping. I talked Ben Dale out of a diamond against his better judgement, but I have never needed it.