Ah - I see - you're a troll.
Once you've been active on the forum a while longer, you might find out different.
Yes, my use of luminosity was technically incorrect, but this thread started as a way to communicate with people that don't know much at all about color management. If they have ever seen a plot of Adobe RGB or sRGB, it will have been a 2-D xy plot. So an area plot.
Yes, technically gamuts (at least in LAB, etc) are 3D. But good luck trying to address that to this audience.
And even in a volume space, Delta E cubed still wouldn't be a useful way of measuring gamut. Delta E is at its simplest form the length of a line in 3-space (aka in it's simple form, a square root of a sum of squares) - volume calculations don't need or want squares and square roots. In more complex forms that adjust for perceptual uniformity, cubing Delta-E is entirely meaningless.
Sandy