I can't believe 4 bass units would all be toast as well as the front and rear drive amps in the simple V.W radio system? I'd suspect an amplifer fuse? If one bass speaker was bad and short circuit (most likely scenario), that could take out an amp fuse or if there's overload protection, shut down all of them? The OP either has to do some work or get a shop to do it.
Well if we take the OP's post verbatim, then yes, six out of the eight speakers are not working. I commented concerning the fronts mainly, since they are on a single circuit. If the tweeters work and the midbass do not, then it is either a break in the wiring (after the Y split inside the door) or the midbass's are blown. No other cause for that, a break in the signal path before the Y would result in no sound at all from the front doors and the fader would not affect this condition (as previously mentioned).
Andy did bring up the fader issue, which could be the cause for no sound out of the rear speakers if its adjusted fully to the front only, so it's worth a check and could be the reason for no sound from the rear.
If the fuse is blown, there would be no sound, probably no head unit functions at all, as I don't think there is a separate fuse for just the audio section of the head unit.
A short to ground could trigger overload protection, have seen that happen on amplifiers if equipped with that kind of circuit. Normally factory wiring isn't prone to this issue, mainly its aftermarket wiring which gets pinched when being routed inside the passenger compartment. Not knowing the exact makeup of the head unit, the front and rear amplifier sections could be separate from each other and possess independent overload circuits. Your suggested VCDS audio test might be helpful in providing a diagnosis. If that isn't available, I would pop out the head unit and independently check for speaker function by unplugging the speaker harness, locating the rear speaker left/right pairs and give them a pop with a 9v battery to see if any sound comes out of the rears. If we hear a pop from the midbass and tweeters, then there is an issue with the head unit. No pops from any of the rear speakers would lead me to believe they are either unplugged or are all dead, so next step would be to pull the rear panels and inspect the wiring and perform a speaker pop on each speaker.