But we're not staying there.
Obviously if we had controlled 100% of the country, and now we control about 30% of it, then we are not staying.
Also, if we were had completely control, why would their be a government of Iraq now? Why not just have the US Congress pass dictation, instead of putting together this Iraqi government, completely with a Executive Legislative, and Judicial branches, if we already control them all from here?
Something here doesn't add up in my mind to "occupation".
Let me put it to you this way. Do you consider Japan occupied by the US? We at one time did have 100% control of Japan, and we still have US bases in Japan. So do you consider Japan a puppet of the US?
Japan is simply the landlord for US bases in that country. Since the military isn't controlling their government any longer, then "allied nation" is a better description of the relationship.
What word would you use for the US troop presence in Iraq? If not occupation, then what?