Ok, so the air would be red from one angle, blue from another. In each case, that is what color the air “really” is, in the same sense that a butterfly’s wings are blue (but not from every angle)
Except that one is transmissive and the other reflective. They're not the same kind of thing. TBH I feel like a demo like this is the only way to get an intuitive feel for it: https://www.youtube.com/watch?v=-Xx7sPPTu3Y .
(I agree that just going on about Rayleigh scattering is probably overly obtuse: at least not without explaining that scattering is part of how color is formed in the first place. But it's also not just a case of 'well air is blue like apple juice is orange')