PAINT STRIPPING a Intuos 3 guide
Since I was unsure how to do it and lacked a clear example, I figured out a nice way and took pictures. Wei told me to use "Thinner" which works very well but I tweaked it a bit to make the job alot easier, used some hints from train model painting forums. Tested quite some other liquids btw, most did either almost nothing or way too much.
Right on to the guide.
1. Stuffs you need.
This picture says it all really:

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You need
-Muscle Oven Cleaner (leave it out and you'll need to work alot harder with the thinner!)
-Thinner (similar all around the world, use sparingly)
-Gloves (don't inhale the above 2 btw and use these gloves, both Cleaner and thinner are not nice)
-Some paper towel (for rathe rgently whiping away, no force needed.. all soft and easy)
-wrapping foil (to pack it up for some time to let the oven cleaner do its thing)
2. Start

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Put the Intuos cover onto some wrapping foil which is on top of something soft, don't scratch the surface you'll want to draw on later.
You see here signs of my previous tests btw, most notably the dark black coloring of the grey paint and the clear part. The black coloring is where the muscle oven cleaner did its work during my tests and the clear area is where I then used thinner.
Without using oven cleaner, it costs alot more labor to get the paint off nicely. The Oven Cleaner thins the paint layer considerably and changes it through and through. Yet never fully takes it away. So thinner will do that for us. I covered some parts with tape but that didn't help at all. Next time I would just take off the touch strips, they can be glued back I'm sure. They come off easily enough.
3. Spray cleaner

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Rather obvious..
4. Pack it!

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If you don't package it, you get alot of not so nice smells and the Cleaner will dry out real fast, stop working and leave a mess. Just pack it like this and put somewhere at normal room temperature for about 24 hours or so. All the paint will become black and thinner, also when viewed from the other side. Hold a light behind it and you can see it thinned up considerably. When done, wash the left over cleaner off very very well. Just use water and soap or whatever.
5. Thinner!
Now take out the thinner and paper towel and just rub it off softly. It will come real easy yet may still take some time to get it done everywhere. I tried some parts without Oven Cleaner and it took me easily 3x more work.
Which leaves you:

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Tadaaaa!
It came out real shiny and smooth and completely stripped. I do have some minute scratches on the drawing surface (forgot the soft cloth 1x) so will have to get some screenshield or so. Which is not a bad idea anyway. It may look a bit duller/washed out on the photo but it is my ceiling reflecting on the cover. If I hold it in front of a TV/screen it's practically invisible.
ps: don't do the thinner part inside the house when your gf/wife etc is about to come home. It smells really bad even when ventilating well and from experience I can tell it will make you get ignored and have to cook your own dinner for 2 days.