Bingo.
Plus the ability to use US Military equipment without pesky issues like ITAR and complaints from the lunatic fringe about giving stuff to Ukraine.
POTUS will probably have a stake too…
Not totally the main advantage with PMC’s as opposed to an American Domestic Legion type thing is the external consequences.
It isn’t the US Government who is shooting down Russian planes, or killing Russian troops, it’s just capitalism in action.
Now admittedly if the Flying Tigers 2.0 show up with F-22’s no one will believe that it isn’t the USG, but boneyard F-16’s and F-18’s, and a fleet of A-10’s, that is much more explainable that a US PMC bought them.
DoD wanted to pay off a few ABCT’s worth, and this could be a way to do it.