I agree that the evil nature what not by pure chance Saddam. However, I think it is without a doubt alive.
For one thing at the end, (when Majora's spell is broken) the face doesn't just disappear. In fact, it just changes to a happier expression.
Furthermore, prior to battling the actually mask, you are taken to the moon which is shown to have a vibrant green meadow full of grass, a big tree, and youthful creatures running along donning ancient masks.
The moon is alive in FET not RET. It is quite a remarkable FE game to say the least.