This is how I go about it as well. Occasionally I'll just use a coarse stone And finish as best I can for deburring - when you get to a very large abrasive the bottom of each scratch trough is unreachable from the other side, so some amount of burr is almost always present unless using a very soft stone, which tends to reduce "keen-ness" along the peaks.
The microbevel strategy was one I came to a few years after tinkering with steeling coarse edges and seeing the results that produced - very refined edge along the top but with irregularities that catch materials more easily and help to increase longevity.
For me, this is where a fine diamond jointering stone, an 8k waterstone or a very fine diamond plate come in handy, since not all blade steels respond well to being steeled. Also, if you go too far with the steel, the edge is drawn out and ruined. Go too far with a microbevel and the edge is only a little more refined than you'd intended.
Lay in a coarse initial grind - I've gone as low as 80 grit. Then microbevel with your finest stone at a slightly higher angle - 2 degrees /side if using a guide, maybe a few more if freehand.
This "wipes" off the outermost deviations along the apex, leaving you with a less coarse edge overall, but one that has a refined apex + irregularities larger than the abrasive could have made on its own. The angle is (paradoxically?) thinner across the edge yet less acute at the same time. You can get a similar effect using a very hard strop, but will have more control using a stone. This can be touched up a number of times on the same finishing stone, a hard strop, or if the steel is less hardened the rim of a coffee cup etc and will continue to cut "rough".
You can see superficial similarities between the two edges, this one IIRC was done on a 220 Norton waterstone (which grinds a lot less refined than a vitreous 220) followed by an 8k. The more refined your last stone prior to the microbevel, the less coarse the finished edge will be.
I pretty much never polish the entire bevel anymore with the only exception being the backs of chisels/plane irons, and some convex edges. I only use a micro if I have a very fine finishing stone on hand, otherwise I just stick to a single bevel.