The most crucial part of this is not mentioned though, and that is 'how much of our improvement is down Ole?'.
By which I mean the decisions taken, the approach to rebuilding, the recognition that the culture of the club was damaged, the players moved out and the players purchased. Without those decisions being made, and made correctly, we aren't sitting in 3rd today or even close to it IMO. He has been a massive part of all of this, which logically would mean that replacing him would effectively rip the soul out of the club just to hand it over to someone else.
I wrote something on here weeks ago about how many fans are taking all of these things for granted. They think 'get a decorated, or trendy, manager in and he will do all of those things plus more besides'. I strongly disagree with that notion.
What I do agree with is that, when the time is right and the club absolutely feel that Ole has taken us as far as he can, then sentiment should not come into it. When its time, its time, and we should act quickly. However, we are (again IMO) a million miles away from that. I'm 99% certain that this isn't even in Woodwards thought process right now, regardless of where we finish the season.
This is a tough position to be in because we can say that, based on the past few years in the wilderness, the approach most likely is coming from Ole (and maybe a few heads on the board like SAF, who knows).
With that in mind, it makes it a lot harder to dismiss him even if he cannot challenge, because the direction is coming from him. But then again we must remember that part of Man Utd culture is challenging and winning, so he can't be excused for a lack of ability to do that. So what do we choose? Sticking with a manager who's not up there with the best, but understands our club and is able to make decisions based on that? Or take a risk with another manager more removed from the club's history, but able to deliver trophies at the highest level and take us on another winning journey; even if it's not as spectacular as SAF's.
That's why the calls for a DOF are strong, because if we had someone who understands the club's value's (like Ole) in that role, then we could hire managers and make decisions based on that. Now it's far from guaranteed that we will, so it depends on what each person prefers. I personally think we've needed a modern training ground coach for a while now, so I think there's a small window where we can combine Ole's good work and direction with the benefits of an extremely organizationally oriented coach, without Ole's work being spoiled by overstaying (which I suspect might happen). However, I can understand those who value us sticking to our Man utd way, and Ole is a figurehead of that, as well as a club legend.
The two things I think would be the most preferable would be:
i) Ole hiring a tactical and organizational coach, as well as a top level team around him and he acts as the de-facto DOF while delegating to his highly competent team. That would be the most ideal.
ii) Ole becoming a DOF, and recommending a more organizational top level coach as manager. This is unlikely to happen.
If Ole manages to do the former I think we'll win the league and other competitions, but he hasn't shown signs of going in that direction thus far. It's because of that that I'm advocating moving decisively to take advantage of this window we have where we're very promising and just about ready to challenge, but lacking in things that a top level manager would bring. Even if it means losing our identity again with Ole's departure and having to find it again (or even a new one).
What I do think most would agree with, is that we need an Ole version of a DOF so that we don't have to go through the whole identity thing again and have to rely on one man to bring us back to it.