They likely reserve the McKiddsies (with their shiny new MBAs and their boatloads of arrogance) to cover the arses of their corporate and NGO clients – that’s where the callowness makes itself evident in their typically organisation-destroying “expert” suggestions.
My guess is that it’s the older McKinsey employees (those few who stayed on rather than leveraging the CV entry for a better corporate job after a few years, as is the norm) who are assigned to apply their greater experience to enabling bad-faith actors in the public sector, both in the U.S. and abroad.