Are you using the diamond only, when sharpening to 30 degrees? If so, are you finishing on the flats of the diamond hones, or on the corners? I ask, because the diamond should leave the edge relatively burr-free (compared to using the ceramics), if pressure is appropriately light. And the flats will further reduce the chance of burring as well, as opposed to using the corners, which focus pressure laterally against the edge, increasing the chance of rolling or burring issues.
If you're following the diamond with any of the ceramics, you might first refine the edge as much as you can on the diamond, then test-cut with cardboard & paper-slicing immediately after that, before continuing with the ceramics. That could tell you if most of the durability issues (or burring) is coming from the diamond stage or from any ceramics that may follow. It's generally easier to unintentionally generate stubborn burrs on the ceramics, which is why I suggest testing the edge straight off the diamond, before going to the ceramic.
If you're just using the diamond only, and seeing the issues with (lack of) durability afterward, I'd suggest going even lighter in pressure in the finishing passes. Lateral pressure against the apex is generally what's responsible for stubborn burring issues, as a whole. And burrs will usually be the cause of poor durability at the edge, unless the sharpening angle is just too extremely low (that's not applicable here, at 30° inclusive).
Going back to stropping, it sounds like the burr you're having issues with is pretty ductile (flipping back/forth and not coming off). If so, I like using hard-backed denim with a good polishing compound (Flitz, Simichrome, Mother's Mag, etc) or other, similarly aggressive polishing/buffing compounds in aluminum oxide, to remove burrs like that. If none of the other suggestions work for you, I'd try that next. Keep the stropping angle conservatively LOW, and the pressure very light, when using compounds like that. You just want to 'kiss the cheeks' of the apex when using it, for the best effect.