Hmm, a few things:
I guess I've come to see C/D and D7sus4 as pretty much synonymous in a jazz context. In fact, whenever I see D7sus4 I pretty much always think about Am7 or C or Cmaj7 all with a D bass note. I would probably rarely play a voicing that was strictly 1 4 5 b7...honestly if I did, I'd probably be thinking of those notes as they relate to the Am7 or C.
With something like A7sus4b9 I just think of it as Em7b5/A or Bbmaj7b5/A
Sometimes that perspective leads to seeing an automatic function...for example, in both cases it's pretty obvious what you're dealing with if you have a progression that goes:
A7sus4b9 A7b9 Dm
Or
D7sus4 D7 Gmaj7
It's clear in both cases you're just dealing with ii V with a pedal point.
Sometimes the function isn't that clear, or maybe there is no function, or maybe knowing the function isn't really important because the composer more so just wanted "color" and functional harmony is irrelevant.
I feel like you're talking more about the "less clear function" scenario.
I'm not really sure what you're saying about the key signatures. How is that different than saying "think about dorian first" or "think about mixolydian first?"
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it is just a way of seeing the bigger pool to pull smaller structures from, and may open up some creative possibilities.
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I guess it's just personal preference/approach that since I feel all 12 tones are always available, I like to minimize my options to start. I don't like how my solos sound when I start off the bat playing with seven note chord scales, but that's just personal preference - I feel like too much is given away, the sound is too general.
In other words, the smaller structures are already there - in both the chord and the melody (and maybe whatever notes in whatever voicing the comper is playing) and I feel like that's great material for improvisation to start with.
Going back to the key signature thing though, I am curious what you mean about that.