Well, if you don't reference the modes, it's harder to account for the shifting roots. If you build it all off the major scale, then
Major 7 = 1,3,5,7
Minor 7 = 2,4,6,1(8)
Dominant 7 = 5,7,9,11
Or you have to do this
.............[-------G7--------]
....[-----Dmin7-----]
[-----Cmaj7-----]
..............1......3......5.....b7
....1.....b3....5......b7
1......3.....5......7
C, D, E, F, G, A, B, C, D, E, F, G, A, B, C
1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1
...and that was just a PITA to do, and it doesn't even look nice. Not the best way to explain theory on a text-based forum.
Either way, the trouble arises in that we use numerals to refer to the notes in the scale and the notes in the chord. People then get confused because they think 1 always refers to C.
True, you can explain this using C as the root in all examples, and then the note names reflect the flattened 3rd and 7ths, but that's not practical because, unless you're playing complex chord progressions, you aren't going to use Cmaj7, Cmin7, and C7 in the same song (at least not often). People learn different ways, but I found it easiest to understand 7ths (and to apply them practically) when I understood how the modes functioned relative to the major scale.
To me learning 7ths chords independent of the modes is like trying to learn cardiology independent of pulmonology or anatomy as a whole. You may know what a heart is, but you sure aren't going to be performing any surgery unless you understand how it functions in relation to the other systems.
Could not disagree more regarding the modes. All of thus stuff has been adequately explained for a very long time without needing to drag in the modes at all. Not only are the modes not required to "explain the shifting root," they don't even explain that. That's not what modes do, it's not what modality is, and you don't need modes to get it.
In fact no explanation is necessary. All you have to do is say, take any given note of the scale as your root (= the 1 of the chord, or root, as opposed to the 1 of the key, or tonic), count that as 1 of a major scale, and than count upward from there.
Agreed, however, that the use of Arabic numerals for scale degrees is potentially confusing when you're simultaneously attempting to talk about (a) the scale associated with the key you're in and (b) chord-scales built off each degree of the scale. But modes don't help with that, because they add still another thing to learn, but a thing that doesn't add any explanatory power. IOW, they don't tell you anything you don't already know, so *in this context* they're just a pointless complication.
The whole point of thinking modally is NOT to explain relations within functional harmony that are already fully explainable without modes. It's to explain harmony that is *not* fully explainable in functional harmonic terms.

