TL;DR McKinsey set up shell company to collaborate with Chinese government (which relies on corporate fronts like the US to manage public agency) and is trying to claim it was that shell company they’ve since shut down, not McKinsey involved.
It's a bunch of independent practices that share the same logo, and have extreme autonomy between each other and "governed" by a committee of senior/managing partners from all the McK offices.
A McK practice can go rogue and it's hard for the others to push back otherwise.