It absolutely does go to american companies—that's the entire point of the privatization movement america's been experiencing the last forty years. It's much more difficult to articulate how this reaches americans and builds actual wealth, though, and certain industries benefit more highly from being basically a private form of government (the defense industry, finance, airlines, critical tech companies, etc) than others.

If americans want to reap any windfalls from their "economy" (whatever americans even think that is—as best I can tell it functions in political discourse essentially the same way the Pontifex Maximus performing an augury functioned in ancient Rome) they're going to have to start demanding more concrete things than "jobs" and "stock performance" and "real estate markets".