It's certainly an interesting time. I don't think Brands will shirk the media and may well take on the role of explaining the Everton side of any transfers out and field some out of season media duties if Silva is not available.
It appears we really have gone fully down the director of football route. I would be interested to know from overseas fans what they'd expect from him if this role is common in their domestic game.
In order to answer this question, I need to put it on equal footing - i.e., what does this position do in our 4 "major" sports - american football, baseball, basketball and hockey
the DoF position is similar to that of the General Manager (GM) in all these sports. In most cases, the head coach coaches, and GM selects the players, and more often than not when the head coach wants the GM and control of the scouting, drafting and signing, it's a train wreck, particularly in football. So over here, we are very used to the GM role. The head coach is in the news more and makes more money generally than the GM, but the GM is undoubtedly the man in charge of acquiring talent.
There are some cases, but it's the minority, where the "face" of the franchise is the GM - like Billy Beane of the Oakland A's - he of Moneyball fame. But more often than not the head coach is the face of the team. However, the best-run franchises across all sports have a respected GM that works on trades and makes the right signings, and he's on the same page as the coach.
We are used to this over here. I'm optimistic that with Brands/Silva, we have a good partnership on which we can base the future, which allows Brands to do his thing, and Silva to do his - and they are on the same page