Here's one related thread with no solid conclusions in it :
http://www.clubtouareg.com/forums/f62/04-treg-amp-draw-when-not-running-32550.html
I haven't purchased the ODBC system yet because I wanted to see some of the raw electrical numbers first.
Since it's the weekend, I garaged the car and installed a homemade wireless current monitor connected to my pc that will let me record and graph the current draw from the battery. I saw a lot of activity during the first 10 minutes of running the first test (up to 1.6A, down to 0.4A stopping and starting at about 10 second intervals). The battery voltage was slightly under 12V open circuit. After the 1st 10 minutes, the activity started to settle and the current went to 40mA and stayed there. I assumed that this was another case where I wasn't going to catch anything, but left it monitoring anyway. 30 minutes later, I the up/down switching of current started again, and through the course of a couple of hours, it continued to get worse. I knew that the battery would drop very low if this continued, so I put a charger on the system, but still saw the current go from -2A to -0.6A often which represents something still switching 1.4A or so at regular intervals.
This morning, my log file died so I couldn't see everything that happened from about 1AM to 8AM, but I started the test over thinking I would be able to repeat fairly easily, but now the current has dropped (gradually) to a nominal 0.04A with no hint of switching even after 3 hours. What's different? Well, two things are different : 1) last night to quickly drop the current to 0.04A, I locked the door with the keyfob, this morning, I haven't done that. 2) Last night the open circuit battery voltage was below 12, but this morning, the open circuit battery voltage is above 12.
So, I'm doing designing another test. With an open circuit voltage of 12.2, I'm going to run the test for 1 hour (it's been 30 minutes so far). Then, I'm going to turn on the lights long enough to drain the battery to 11.8V and rerun the same test. In both cases, I'll leave the doors unlocked.
My hypothesis is that the bizarre switching that occurs is a function of the battery voltage. I've read other posts about the battery "saving" feature that may be part of the problem, and I'm starting to lean in that direction. I'm thinking that once the system sees the battery voltage drop below a certain threshold, it starts taking actions to prevent the battery from discharging, but in my case (and others who seem to be having similar problems), I think the opposite is happening. Whatever those "actions" are to prevent battery discharge are perhaps creating battery discharge. I will let you know what I discover.