You typically cannot confidently land "CC" that isn't physical based after breaking armor aside from the multihitting Hydro spells. Casters have the most forms of CC, yet they are inferior in almost every way. Not only do they take longer to actually break through magic armor, they typically have to perform two more actions to get any real CC.
Petrify. Terrify. Web (Doesn't really count). Sleep. Root.
You typically can confidently land CC.
Starting in late Act 1 and Act 2 casters gain parity or pull ahead only to drop off contextually at the end. Though at that point nothing really matter since people are doing 9k+ phys or magical, and you have access to unlimited Source abilties.
Teleport is nice too, but it's primarily a stalling tactic.
No.