Do we?
We have been told that he wants a deputy, most sources claim he wants Andy O'Boyle. Its never been made clear that Murtough wants Paul Mitchell at the club.
I can believe that Murtough might be nervous about making room for a guy he a) doesn't know, b) is an experienced Director of Football in his own right and probably knows the job better than Murtough and c) is making demands about how much power and authority he wants to consider the job. Murtough arrived at United with Moyes and has slowly worked his way up. Why would he want to appoint someone who, people like Arnold might start thinking, could do his job better than he does it?
If Murtough didn't think United was big enough for both him and Nicky Butt I'm not sure he'll be super keen on Paul Mitchell. Then there are other people in the structure who might get hooked, or replaced, if Mitchell comes in. Why would they want this to happen? Plenty of agendas at work at United. Even McTominay was willing to publicly say stuff higher up isn't right at the weekend.
I don't for one second believe many people at United want Rangnick or Mitchell to be anywhere near the club come June.