I hate those warped blades! If the warp is bad, then honing on a DMT for a bit helps reduce the high spots on the spine and even it out a bit. I then usually add a layer of tape and let that wear down on the high spots during bevel setting, adding a second layer of tape to even things up a bit more and 'lift' the spine a bit so that the bevel sits at a slightly more acute angle on the hone, which sometimes helps. If the warp isn't too bad, just one layer of tape, changed often, may do the trick. If all else fails you may need to resort to narrower hones.

I hope your counter top is a bit irregular, by the way! In those last photos the bevel looks a bit undulating in places, but that could be the light or the counter top.

With regards to the King 1k/6k, the 1k is very fast (I prefer it to the Norton 1k, even if the King needs more frequent lapping) and the 6k side is more like a 5k. Even so, the jump from 1k to 5k is a bit much for me - a 2k or 3k in between suits me better.

I'm not sure if I read your post correctly, but are you finishing with 6k King and attempting to shave? I suppose that can be done, but even an 8k (although in the hands of a very competent user an 8k can give a very good shaving edge) isn't enough for most people, I have found - 10k seems to be a good starting point for a finishing stone, but that's only my opinion!

Regards,
Neil