Saddam was their man for a full decade prior to that war, to go against Iran. Even the Kuwait invasion was given the go ahead by the us with false assurances, until they sucker punched him for it. It's not as if they us gave a shit or two about Kuwait's freedom or not (which was partitioned from traditional iraq teritorry in the past anyway, and a monarchy itself).

Then they'd let him mostly be after 1991 until we made the mistake to push for the Euro in early 2000s.