You use the words "benefit" an "umbrella" that are actually euphemisms for the military occupation of defeated countries after WWII.
A country does not benefit having another country occupying their land. Germany is the fourth manufacturer of weapons of the world, they do not need to be defended or protected like the world "umbrella" implies, they can do it on their own.
If the Germans-Europeans had to pay for all the cost involved in the occupation there will be no reason to have the US army on Europe's land.