I think your gut is right. One thing you can try, at the end of the sharpening session, is to set the angle 4-5 degrees higher, and make one or two very light, edge leading passes with the ceramics. You’re not creating a microbevel, just removing the burr. You can then drop down to your sharpening angle, make a couple more light passes to clean up the edge, then strop if you want.
You can also just set a microbevel as xuzme720 suggested. Do this with your finest stone that you want to finish with, and just enough to set the bevel (usually only 1/2 dozen passes)… otherwise you’ll just start a new burr. The idea of pushing the burr to one side, then “cutting it off” on that side, is also a good method to try.