Hello blast from the past. I just picked up a second-hand iMac G4 myself: a 20" widescreen model that had not been opened since the day it came home from the Apple Store with its first owner.
I was only planning to upgrade the internal RAM module, but once I opened it and saw how dirty it was, I had to do a deep clean.
At this stage of disassembly, I've unplugged everything except the TDMS display connector. It has a protective plastic cover, which is stuck to the PCB with a thick strip of some double-sided material (possibly 3M VHB?), which had gotten so gummy it was very difficult to remove.
I had to use an X-Acto knife and a nylon spudger to carefully lift it. There aren't any good photos of this process or the underlying connector online, so I figured I should document it for posterity.
BE VERY CAREFUL with the X-Acto knife. Go slow, and make your cuts as close to parallel with the board as possible so you don't gouge the PCB, and only insert the knife about 1/8". You won't be able to cut the tape much on the other side, so concentrate on the one side and lift it up.
Due to the lack of references images and removal technique on Apple Service Source and iFixit — the OP's post has the only known reference to the level of difficulty involved — it took me a solid 15 minutes to figure out how to remove this thing surgically without causing any damage.