It has nothing to do with CV. There are many directors of football who did excellent work despite never having done such a job before. Michael Edwards is seen as the gold standard on here, yet Liverpool was his first DoF job. Chelsea promoted Emenalo from scout to DoF despite him having no previous experience in such a job. He signed them Courtois, Lukaku, Mata, Cahill, De Bruyne, Bamford, Hazard, Oscar, Azpilicueta, Moses, Willian, Diego Costa, Fabregas, Matic, Salah, Zouma etc.
DoF is a role many clubs appoint internally, Murtough doesn’t need a CV to back up his decisions.