@bobislavinson If movement/CC abilities would have a lower cooldown you might have a point, but as it is it's hardly interesting to use an ability, get close to someone in order to get a hit in and then have to continue playing cat and mouse. You also assume that the abilities weren't used before to get the person to run away.
You can plan all you want, but that doesn't matter if you've got nothing to use.
Mounting up only moves the problem, because what happens after you hit them once? You lose your mount and you're back to slowly chasing.