Jonathan, that's factually wrong on the level of "the world is flat", the light from the Sun is not reflected off the sky.
The sky is blue because of an effect named "refraction", not "reflection". It's not because of oxygen molecules only, but it's an effect of the entire atmosphere, which is mostly nitrogen.
The article you cite discusses 2 types of scattering: resonant, and non-resonant. Non-resonant scattering is what causes refraction; it's a simple delay phenomenon, photon in, photon out, no change in polarization, limited change in direction of travel, and a small phase delay. Resonant scattering is quite different: one high-energy photon can be broken into multiple lower-energy photons, re-emitted photon(s) can be emitted in any direction, and there is no phase relationship between the original photon and emitted photon(s) whatsoever.
Non-resonant scattering is what causes refraction; resonant scattering is what makes the sky blue, and has a lot more in common with reflection than refraction, like the ability to cause light originating behind you to pass by you, change direction and then enter your eye, just like what happens when light from behind you pases over your shoulder, strikes a wedding dress, and reflects back to your eye. In both cases, light from behind you interacts with something in front of you, changes direction, and enters your eye. The standard term for such an interaction is "reflection". It may be caused by resonant scattering, but it's still a form of reflection.
BTW, oxygen is better at resonant scattering than nitrogen; if you ever have the opportunity to see liquid oxygen and liquid nitrogen side by side, you'll see that the liquid oxygen has a slight blue tint, while liquid nitrogen appears completely clear. So while oxygen is not the primary ingredient in the atmosphere, it
is primarily responsible for blue skies.
All in all, your statements are closer to a "world is flat" magnitude of error than mine.