As such, area of denial is a form of crowd control. You're arguments are utterly unconvincing to me.
Not necessarily. Again, Crowd Control as it stands is defined by Stuns, silences, roots, anything that makes the player
lose control.
Azir's wall blocking off Blue isn't Crowd Control, it's denying an area. The pushback itself is CC, but the area it blocks off isn't.
You're using crowd control in a literal fashion, whilst ignoring the context it has for a MOBA.
In a MOBA, CC is something that removes control over their character of the afflicted player. Area of Denial is where a an area is blocked off but the 'afflicted' players still have full control of their characters(Except not being able to cross the boundary without using flash)
Azirs wall is an area of denial. Anivias wall is an area of denial. You wouldn't define Anivias wall as 'CC' would you? Who is it CCing? It's just denying an area from the opponent.