Rob, my preference is to remove the trim as well. I suppose that I should have qualified my previous remarks. All the trim attached to the chassis comes off very easy as it is attached by rivets. Also, the lower door outside window trim adjacent to the door skin is a definite removal as it is held on by screws that also hold the cat wiskers.
The challenging trim surrounds the rest of the door window frame and is pressed on both the
inside and outside. This is the delicate stuff that can be stretched and damaged when removing it.
As I mentioned before, my experiences, prior to last, was that I was able to carefully work it off w/o issue. Frankly, others had told me what a bear it is to remove and that had never been my experience. That is until my last project - it did not want to come off. I ended up taping it over. It would present a problem if your intention is to powder coat them. Then, I have my fingers crossed that the pressed on door trim removes easily. Let us know how it works out.