eishiya: this and previous comments from you (I can't see Luke!) make me wonder about your monitor calibration (or else, mine). For me, your AA is too bright, while Roya's is about OK. Also your colour is not at all the halfway point, either in value or RGB channels; Roya's is close. Mysterious!
This piece has the same issue as "Smile" - the AA colour is too dark, so it doesn't serve to make the transition between the two other colours as smooth as a lighter colour would, so it still feels blocky, not much better than if you hadn't AAed it at all. Here's an edit with the colour lightened a little bit (actually, I just took the halfway point between the other two colours), I think it looks much smoother even though it uses the same AA that you made.
I think you got your links backwards.
You're right that my edit is too bright. I got the colour by putting the darkest colour at 50% opacity over the lightest colour, which was wrong because PS is horrible at calculating colours in RGB. It looked less blocky to me so I just uploaded it and called it a day without actually checking the result properly.
Here's a better edit with the AA with its Brightness at something closer to the (perceptual, not channel) halfway point in Brightness. It's only slightly lighter than the original. I like it more than my original edit, but I'd make a twiiinge lighter personally, maybe if my original edit was at 20% or so opacity over this one. That's probably just a monitor thing though, combined with the fact that one colour of AA isn't quite enough for the almost-vertical segments on the left side of this image - hard to make that not look blocky.
You misread my comment on that Star Wars piece though. I could see Luke perfectly well, I was commenting about Darth Vader. In any case, it's not a colour distinction issue in that piece, but a composition issue - the background lights contrasted more with the dark blue background than Darth Vader did, so they overpowered him at 1x.