The thing is we don't actually KNOW anything about who is doing what. Plenty are surmising and using rumours, anecdotes and their own views to come up with their own theories.
It does seem to be widely accepted he didn't pick a lot of our expensive "proven" signings and now apparently isn't really involved in the picking of the manager.
It seems like the manager and the board have almost pushed him out of the big decisions.
We don't really know though but personally I think we let koeman build this shit show despite his relative success at Southampton coming with someone else buying the players