Diamond Tiara is the less sympathetic "villain"
Both seem to suffer from a need for attention, It may stem from a lack of attention as a foal or some other void they are trying to fill with attention.
Trixie tries to fill that void with power and spectacle or at least the illusion of it. She really wants to transcend the mask and be powerful. She I believe can be reformed at this stage, hence her Great and Apologetic Trixie at the end of Magic Duel. She may be turning it around.
Diamond Tiara has the same problem in a way, but she deals with it through bullying others. Trixie bests the other ponies only when they have directly challenged her, though after she has provoked them. Diamond Tiara does it with no provocation whatsoever. I don't really count magic duel against Trixie, because the amulet had a profound effect on her already insecure and outwardly egotistical nature. I think the greatest agent for change with Diamond Tiara is Silver Spoon. If she decides to stand up to her a bit it may unseat some of her precariously built outward egotistical persona. It also may allow for her to make a change and become a better pony.