I'm not sure i follow... Perhaps you're confusing Supernatural (Su) abilities with Spell-like abilities (Sp)?
The only thing Supernatural abilities has in common with Spell-like, according to the link you provided, is the use limit per day, if any.
In the case of casting a spell using Arcane Channeling, you can use it indefinitely without AoOs, but you still have to provide the material components and cast the spell with a free hand, for example. That's one of the reasons why channeling using TWF, or a shield + weapon, style becomes a little weird w/o the proper feats to overcome the limitation.