But the world isn't in RGB space. If you take a bunch of samples in the whole color spectrum, then approximate them each into sRGB, the average probably won't move that much.
For example, consider what happens when averaging (0,1) and (0,-1) in cartesian coordinates vs polar coordinates. In cartesian coordinates you get the midpoint at (0,0), but in polar coordinates both have the same length... so you just get a point a (1+1)/2 distance along (0°+180°)/2. That's either (1,0) or (-1,0) depending on the handedness of the coordinate system, off to the side instead of in between!
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But the world isn't in RGB space. If you take a bunch of samples in the whole color spectrum, then approximate them each into sRGB, the average probably won't move that much.
Actually, it could move a lot.
For example, consider what happens when averaging (0,1) and (0,-1) in cartesian coordinates vs polar coordinates. In cartesian coordinates you get the midpoint at (0,0), but in polar coordinates both have the same length... so you just get a point a (1+1)/2 distance along (0°+180°)/2. That's either (1,0) or (-1,0) depending on the handedness of the coordinate system, off to the side instead of in between!
The same effect happens in RGB vs HSV.