That's an odd assertion. This particular guy may or may not be the guy to run the FAA, I have no idea on that. But I do know that he runs an airline for a massive multi-billion dollar corporation with multiple aircraft and crews.
Claiming he has no management experience is simply false.
Even someone who is not in that kind of position, but a major airline pilot, has significant management experience simply by virtue of the position. They're not like fighter pilots alone and unafraid up there flying around for fun.