Let's also not forget the edge that Dubi had to his game: an edge we sorely miss. Remember his war of words with Crosby, his confrontations with Ovechkin, his fights with Mike Richards. Dubi was disliked by other teams and had the rep of being hard to play against. When he was at his best, things swirled around him on the ice.
Miller may be somewhat more skilled (though I'm not totally convinced of that yet) and as a 19 year old is still finding his way at the professional level, I don't think he will ever have that annoying jam that Dubi had even when he was in junior hockey.
Miller seems more self-contained and a player who stays within himself. Dubi seemed like a future leader and possibly a team captain or alternate right from the start. I don't see that yet from Miller (again, it's early days for him) and I just don't get the impression that he will develop into that kind of player.
What I hope from Miller as that he continues a steady developmental path. Dubi was one of my personal favorites on the team but I was disappointed with how he seemed to go off the track last year and stop improving. Whether that was temporary or a result of his new contract, complacency, or other factors, as a fan, I will never know. There were times last year when I remember thinking about Dubi that he was a player that I never thought I'd have to worry about his inner drive. But last year I did.
Miller seems to have that inner drive, inner motor, but it seems different from Dubi's.