The manga literally tells you that AdvCoA allows you to hit without touching, something that was never said about AdvCoC.
They have only shown us hits without contact or with AdvCoA, for obvious reasons or when two attacks with AdvCoC collide.
I can give you examples of everything. I can give you people without AdvCoC who hit without touching, like Hyogoro or Luffy in the Capital... I can give you examples of people with AdvCoC who hit their enemy. And I can put those same people, not hitting only when they clash with another attack with AdvCoC.
And my only "problem" is Big Mom's defeat of Page One, which can be justified assuming that Big Mom has AdvCoA, something that doesn't seem too crazy to say the least.
Here the only one who invents criteria is you, including colors in a black and white manga.