I'm going to try and answer this thread as best as I can as it seems we are getting a lot of requests about the AS Laser (Aogami Super) and the AEB-L (13c26) Laser. Although both knives are extremely good performing knives, there are some differences other than the blade steel itself.
AEB-L Laser: Very light weight, very thin behind the edge, very thin spine.
AS Laser: Light to medium/light weight, very thin behind the edge, medium thickness spine.
Both are about the same thinness behind the edge. I would compare thinness behind the edge to be at least as thin, if not slightly thinner, than your Konosuke HD's. The Aogami Super has more convex to the grind because it has a thicker spine, giving it better non-stick properties.
The AEB-L Laser is not as non-stick, but it gains a little bit in performance for that loss of non-stick.
The AS Laser gains chopping power over the AEB-L due to the increase in blade weight up front, so chopping may feel better with this one.
AEB-L will sharpen a little easier than AS, but the AS will hold an edge a little longer, aside from the fact that AEB-L is stainless and AS is not, meaning AEB-L will hold an edge longer doing high-acidity ingredients.
Both of these knives are some of the best performing knives I've used. I guess it comes down to this: Are you looking for the lightest, thinnest knife? or do you want something that performs like the lightest knife, with a little more weight. Some people want the thinnest knife possible, and the AEB-L version fits the bill. If you want something that still performs like a laser with a little more body to it, the AS is for you.
Personally, I want to say that I prefer the AS version due to the little extra weight up front... but I know other people who want the scary thin/light blade, and I feel that way sometimes as well.... so it's really a flip of the coin for me, both knives are seriously good.
I hope this helps, please feel free to shoot any more questions.