I will not discredit any TMA for their kicks, however, the major difference I have experienced is that power kicks like those found in Muay Thai and kickboxing do damage as compared to the quick, snap style kicks found in point fighting.
Not that these kicks can not be trained to have power, because they can. Hook kicks, ax kicks, even crescent kicks can be trained in a manner that make them much more viable to full contact fighting and not quick little snaps followed by a loud kia with posturing and hands at the waist (fu**ck point fighting up it's stupid a**ss)
It's not the kicks, but the context in which they are used.
"The hero and the coward both feel the same thing, but the hero projects his fear onto his opponent while the coward runs. 'Fear'. It's the same thing, but it's what you do with it that matters". -Cus D'Amato