That is not the reality or context of the issue.
The Coalition commandeered the prison when we took over the country and we started using it to house prisoners that we took.
Then the rogue group performed their acts and as a result a howl and cry went up as to "What was the administration THINKING by using this infamous prison?!", disregarding the obviousness of the fact that we needed a facility to use immediately and did so.
Then the press incessantly demanded that we should tear it down, so President Bush sensibly said IF that is what the Iraqis wish, that is what we will do.
The answer evidently will be that it is not necessary.
You're right, but my mind doesn't think in levels that complex.