Lets talk about "skill" and balance for a minute.
First lets start with a question.
Should champions who have more mechanics, be rewarded with champion superiority when exercised correctly? or Should champions who have more mechanics be equal, or perhaps weaker(numbers wise) than less mechanical champions?
For me, I think Mechanical or "skill based" champions when played properly should be equal in power to their less mechanical peers, and here's why...
Mechanical champions don't require more "skill" than non-mechanical champions do. They require a DIFFERENT kind of skill. Mechanical champions require more micro-intensive skill, however non-mechanical champions require more game knowledge, macroskill, and understanding, as they do not have the mechanics to escape from mistakes or bad positioning, whereas their mechanically superior counterparts do.(Get out of jail free cards.).
I firmly believe Azir and Annie should be exactly equal in power even though Azir requires significantly more microskill than Annie does. On the flip side, Annie requires a whole lot more intelligence to be successful even though her kit is literally braindead. When you are surrounded by mechanical champions that can quite literally run and jump circles around you, whilst dealing equal or often times more damage than you do as a non-mechanical champion...it DOES require skill to succeed. Just as much as it takes for that Azir player to play Azir efficiently. Its just a different type of skill.