You didn't understand the article. Read his cannonballs analogy. The problem is the formula used to average colors is wrong in most software. The problem is most software is averaging the numeral values of the RGB component when it it should be averaging the light output intensity, which is not linear to the RGB numeral values.
More specifically any addition of color values generates the problem, not just averaging. If you add two linear values and gamma-correct the result, you get a different answer than if you added the gamma-corrected values directly. Multiplication doesn't have the same problem. I.E. a^x+b^x != (a+b)^x, while a^xb^x == (ab)^x. P.S. it has nothing to do with Nyquist limits.
