This is a convincing take but in reality, when Trump threatened to pull out troops from many of those nations, these nations weren't excited the slightest about it.
That's a bit of a ridiculously cynical take. The majority of democratic US allies that harbor US bases have a population that supports the presence of the troops. And those in power there aren't so because of the US military power, they were elected.
For dysfunctional or undemocratic nations, it's different.
I don’t want to oversimplify things, and yet: how did that come about?