For AA, the hue doesn't matter all that much because the larger areas of colour around the AA overpower the hue of the AA colour, especially if the AA colour isn't very saturated.
You could even AA between two greens with a low-saturation red and it still looks alright:

The key thing is that the value works, and that the AA colour isn't so saturated that it stands out.
So, while an AA colour that's a perfect blend of the colours it's smoothing between might be the obvious solution, you can actually often get away with using some unrelated colour that you're already using for something else :D