Abilities: Special, Extraordinary, Spell Like, Supernatural, Natural, get 'em here.

[Temotei]

*snip*

That makes your argument so much cleaner and clearer that I wonder why it wasn't brought up first.

This seems sound to me. I'm not a huge rules buff, though, so.

I think the part I am having trouble with is the assertion the Spells are a Special Ability. I don't see that this is necessarily the case.

I believe the evidence given is here. Far right column, about three-quarters of the way down the list. The specific entry is here. Of course, this refers to creatures who cast spells, not the class feature, so it's kind of blurry.