Not convinced. Because of the timing more than anything else.
If they want a DoF to provide continuity and to uphold a ‘style’ then said approach will likely be at immediate odds with the incumbent manager, Mourinho. Thus creating potential problems in the short-term.
The DoF and head coach have to be on the same page and receptive to one another.
If United want a DoF then do it when Jose leaves and let him have a hand in his succesor.
And besides, Mourinho has one of the better records when it comes to recruitment.