Also, that song definitely uses the major third and not the minor. I guess that's what makes it "phrygian dominant"? (since the min7 chord doesn't have the tritone in there that a dom7 would). But you don't hear C mixo being called the "C dominant scale"? (Maybe you do, but I've never heard it called that).
i personally avoid the word 'dominant' because nothing's actually dominating anything. misleading. indeed, phrygian nat3, is what i'd call that mode