Leaders like Burish don't come along very often, that is what makes them so valuable when they do.
Part of the problem is that Eaves has not managed to even out his recruiting classes. The imbalance has, if anything, gotten worse over time because he brings in small classes of just elite forwards who leave early just as a large class of seniors graduates, making the next class of freshmen even larger. UND and DU don't have this problem, they consistently bring in a class of 4 or 5 forwards and have 3 or 4 graduate with 1 or 2 early departures, thus they don't have the ebb and flow in experience that UW seems to have. It doesn't seem like that is going to get any better in the foreseeable future.
Plus, most of their players at least played their HS senior year in Juniors, where as UW is bringing in more players direct from high school programs, exacerbating the experience problem. There is a reason that teams started having all but the most exceptional players spend a full year (at least) in Juniors before they came on campus, that year of maturation and learning is so very valuable in making the transition to the college game.