On the trim I have tried at least a dozen different things to get the white stain to go away. I tried straight KAIO, IPA (somewhere around 95-99%), some mild solvent, wax blaster, back to black, Wizards forever black, tire gel, AA tire foam, and there is probably some I can't think of right now.
Some of the stuff makes it look good for a few weeks/washes. Some stuff looks better until it dries. The stains always come back, though.
I can't even remember what I got on the trim, as I haven't gotten such bad staining on any of the other cars I have done. The likely culprit is probably M09 or some cheap 3m rubbing compound. The staining didn't show up right away either, it took at least a few days to show.
It is hard to notice for normal people, but its just one of those OCD things. *I* know its messed up, even if the rest of the world doesn't see it.