Ice Climbers can 0 to death sheik now, we do a brawl chain grab using the ledge to force nana to throw a certain direction for regrabs, and at low percents we can dthrow dair sheik into regrabs, pushing her closer to the ledges.
Everything else you said is true though, she has more range, and a great projectile, the only level ICs have a reasonable shot on is FD and even then its not very realistic.
If we did tiers entirely based on tournament results Falco and Fox would dominate because most newer players use them, the same way MK dominates brawls tiers, although in his case he is the best character undoubtedly. We do our tier system more based on the best Marth the best Sheik, the best Fox, the best Falco, the best Peach, the best Ice Climber, and the match ups of the characters. Right now Fox is number 1 because he has great match ups and great people who use him, same with Marth being number 2, either character could be first, its not much difference. The best Peach has done more than the best samus, and so on, plus Peachs match ups are good, and she has some good techs if you are good enough. Although after playing as Jiggs recently I would have to agree that she is above Falcon and Peach. But then again I think ICs should be above Falcon too since the best IC players tend to outplace the best Falcons. But whatever it doesn't matter, Falcon is awesome.
Oh and I think it should be Ganon Doc Samus starting off mid tier.
