Valdano was the Sporting director/director general at Real Madrid, and Mourinho fell out with him because he (Mourinho) wanted more autonomy on the football side of the club like what occurs at English clubs. And Perez allowed Mourinho his wish.My error on Monaco v Lille. Not sure on Valdano, those other roles are different to a DoF but even ignoring that, Zidane credited Mou with his appointment after Valdano left:
‘Mourinho has been fundamental in this, and so has the President’
I’d add Valdano likely wasn’t a DoF because you can find a BBC article which suggests Zidane might take up some of his responsibilities after he left. Surely if Valdano was a DoF, Zidane would just replace him and wouldn’t have a different title? See below.
www.bbc.com/sport/football/14067827.amp
On your bolded point, that’s because Woodward had reportedly said no to a full time DoF which is the entire point of what I’m trying to tell you.
And it's not a surprise that when he arrived at United he was allowed the luxury of having his own recruitment staff according to Jason Burt of the telegraph.