I wouldn't even consider that second knife. Those bevels may have been totally skewed before you touched them and your work may have just accentuated that. Especially with that coating just making it far more noticeable.
Factory bevels, even on quality knives, are notoriously uneven.
Be sure you're clamping in the middle of the blade (heel-to-tip wise). Paint the bevel with a marker, make a couple swipes to see how much you're removing and adjust as needed. You want to be removing all the marker from the very edge to the bevel shoulder. There might little spots you can't get and that's due to the factory and you'll have to grind those out as you go. But the majority of the bevel should be clean. Go slow making small adjustments and reapply marker as needed. If you see you're taking it all off just the very edge (too high) and make an adjustment and now it's all coming off, reapply it and verify. You want to be sure that you're adjustments didn't mess up the previous work.
Now, sharpen that side until you have a burr on the entire edge. Use your 300 diamond and do not go up in grit.
Flip your blade and make one light stroke down the bevel. This will help clean up the ragged burr so can more easily apply the marker. Repeat the above marking steps without regard to the angles matching. You're just looking for whatever angle each side is set at. This will tell you right away if you're starting with uneven bevels.
As for "next level", your KME can absolutely make mirrored edges. You need to learn about scratch patterns, grit progression, strops and/or films to keep achieving higher levels of polish but there's absolutely no reason that system can't do it.
If it's a next level sharpness thing, understand, that if you can easily shave arm hair, your knives are sharp. By and large, everything beyond that is just-cuz kind of stuff. If you want to whittle free-hanging hairs, you're likely going to need more than the KME and now you're talking matching abrasives to steels and angles and all sorts of stuff.
As for test knives, pairing and kitchen utility knives are the best. Just watch your jaw clearance. Might invest in some pen jaws. The steel is good enough to take an edge yet soft and thin enough to be easy to work with. Counter junk can just be a goopy mess that frustrates.
I say evaluate what your priorities are and how your current edges are performing and then how those two things meet up.
No to the Work Sharp.