Amir charts are based on research done by Dr. Toole and others. As I understand it was the outcome of what most people seemed to like about different speakers. So the majority obviously liked what is used on the measurements here to evaluate speakers, if you were one of the participants on the testing group back then, you would be one of those that liked something else. Nothing wrong with that, reading speakers reviews though on this site shows IMO that most people still like speakers that agree with the findings of that research, and most of the times people agree with the impression they had of their speakers and the measurements presented here.
I think the Toyota Corolla analogy is a right one for your point of view. I can listen to most music just fine with my cheap in-ear headphones on my phone, but try to listen to some classical music with more than one piano playing, I get a headache after a couple of minutes. Coloration doesn't work well always.
The method you are implying to find speakers that suit each ones tastes is theoretically the right one, but practically difficult to do, and for some of us near impossible. We would have to go to retail shop (none near me) and listen to some speakers, dunno about you, but personally I wouldn't be sure that I would make the right decision on such an environment. Then we have to bring the speakers on our room, and what, hope that they sound the same as in the shop? Unless you have treated your room correctly, which me and a lot of people don't know much about, or cannot do it because of space/aesthetics. EQ can make the difference there.
So yeah, if I was to buy new speakers, I would read the speakers reviews here, look around the internet for some more impressions, and buy them. If I didn't like them, would do better next time based on the knowledge acquired. Of course my speaker budget atm is about 1000$, I suppose if you are to spend a lot of money, you'd go differently about it.