Well I think everyone's problem with this is simply that 9 times out of 10 when you have a program talking about the "10 faces of MJ" - or any program about MJ's evolving looks, it is almost NEVER done "sensitively", nor is it factually based.
I don't think it makes fans crazy at all to be wary of something like this, or anything relating to his looks because very few know the truth about it or bother to acknowledge it. Lets get the basics down first before we start analyzing how his face influenced his popularity. lol Lets just make sure people know that he wasn't some crazy plastic surgery obsessed maniac who hated his own race. Once we get that down, then I'll consider not being cautious about programs such as this. lol
Plus its all about perspective. If you look at just his facial structures and the main elements of his face - no they did not change more than any regular person would change over the course of 40 years. There are just as many pictures that speak to this as there are pictures that speak to the tabloid notion that he kept 'changing his face.' This is what fans speak against when they say his look did not change, and it does not make them crazy.
But of course on a baseline, fundamental level, his look did change thanks to vitiligo, lupus, make up, lighting, hairstyles, aging etc. So in that way, yes an analysis would be interesting but I would not trust someone to do this without knowing/acknowledging the basic facts.