At this point I think they've already established it. That is the positive of the last month. As I've outlined in another post at the beginning of the season, it is very rare for a coach to survive a 1 win season longterm because they lose the lockerrom, so it was good they demonstrated an ability to win.
But at this point, are players really going to be pissed if they switch to Rosen to develop him some more since the playoffs are no longer even a consideration? I doubt it. A lot of the younger players who want to be here longterm would understand that a better pick would also help them longterm.
There really is no point in racking up cheap wins with an old Fitzpatrick who won't be here for more than one season and play yourself out of the top 10 picks with a late season win streak. It's self defeating.