Nice timing! This is exactly what I was looking for. I just bought a broken 700TSV on the for-sale forums, and the 20-pin board connector is torn off the circuit board! It's a bit of a loss, since some of the traces are lifted and someone already tried to repair it once. But your diagram got me about halfway to fixing it. I figured out my actual pinouts with an ohm-meter.
My board is different than yours, and my wire colors are too. Here are my notes about what I found on mine:
The "Video connector 3" is really the audio connector. On mine its wires are a coaxial pair (inside a black "wire" that's bigger than all the others). This has to be stripped to get inside if you want audio.
I don't know the pin numbers on my missing 20-pin connector, but here are the colors I found (numbered the same as your diagram):
1 - brown - USB Data - **
2 - LightGreen - VGA Green Return
3 - bare (screen?) - USB & VGA Ground **
4 - grey - VGA Blue
5 - pink - VGA Red
6 - purple - VGA Horz sync
7 - orange - Video1 ground **
8 - red - Video2 ground
9 - yellow - Video1 signal
10 - LightBlue - Video2 signal
11 - Green - USB Data +
12 - NC
13 - Blue - VGA Red return
14 - NC
15 - white - VGA Green
16 - NC
17 - black - VGA Vert Sync (pin14)
18 - coax shield - Audio ground
19 - NC
20 - coax signal (white) - Audio signal
** - same color as your cable
I checked the pins on the header of the daughtercard and all the ones I could check matched yours. So I wired it up the way it "seemed" it should be, and it worked!
I didn't know what to do with the VGA Red/Green (no Blue?) "return" wires, so I tied them to ground. There seem to be two pins for that in the "VGA section", so it made sense. And it worked. yay!
The touchscreen seems wonky (x and y are reversed, touchkit won't calibrate right), but I'm not planning to use the TS anyway. In fact, I'm planning to use this as a TV on my treadmill.