I don't think I quite said that, did I? But in any case, I don't think there's a contradiction. We use the word "mode" to refer both to (1) a scale and (2) a key, or "key." I put "key" in quotes because some feel only the classic major and minor can truly be keys, but a mode can of course be a key in itself *in a broad sense*, meaning that it has a tonal center and set of notes associated with it. My point was just that even if you can generate the seven basic mode *scales* from the major scale, that doesn't mean that the *"keys"* associated with those modes function in a way that is meaningfully related to the functioning of the original major key. So yes, we can and do derive the A dorian scale from the G major scale, but that doesn't mean that the harmonic function in an A dorian piece is usefully related to the harmonic function characteristic of G major. Thus, if you want to talk about how an A dorian piece is working or what to play in it, you don't really have to talk about G major at all ... provided that you know what A dorian is.
To underscore the point that the modes are harmonic "worlds" in themselves, not necessarily grafted to any major scale, I've often found it useful, in discussing this stuff with individual students, to have them generate all the modes from the same starting note--for example, C lydian, C ionian, C dorian, C phrygian, etc.
They're good to know, certainly--and I know you and I both know them--but I think they're often resorted to when they aren't really needed. For instance, to understand basic Western functional harmony, you don't need modes at all. They're completely unnecessary *for that particular purpose*. You can understand all the basic concepts without touching on modes at all, and in fact most of the standard harmony books I'm aware of do just that. Where the modes do become useful is precisely those areas that don't strictly fit classical harmony--which as you point out is often the case in jazz and pop, not to mention a great deal of folk music. (I spent a number of years playing a lot of Irish music, much of which uses modes extensively.)