Part of the French and German motivation is a compulsion to run around screaming "I am relevant!" (rather like a certain XPOTUS we all know and loathe).
(The other parts are their oil contracts and the realization that they are gonna be soooo busted when the occupation forces give Saddam's WMD programs a real inspection.
It's partly a result of the socialist mentality that believes in compassion, but loses a grip on reality.