None of the other figures you mention look like Depp except Sparrow. It could have something to do with the movie rights and not Depp at all. Disney has the rights to the Sparrow image, that's why it was on just about everything you can imagine.
This is a month-old post and someone has already commented on it but I wanna chime in here and say I think this is bull as well.
Both McFarlane Depps (Edward and Ichabod), NECA's Jack, Medicom's Sweeney, they ALL have great Depp likenesses. There's no way you can look at any one of them and try to say that the likeness wasn't secured, let alone done poorly.
Hot Toys doing an Edward Scissorhands? That would have been a must-buy for me if it actually looked like Depp and I can't believe for a second that someone as licensing-friendly as Depp was unwilling to do it. If anything, they got the likeness (I mean, it is all over the packaging) and they just fumbled it badly. Not even Hot Toys is beyond a bad sculpt. Edit: the more I look at the proto pics the more I'm convinced that they were going for Depp and just dropped the ball badly.
As it stands this figure is a very excellent representation of Johnny Depp's stand-in or of a very committed cosplayer but as a figure of the "real" Edward Scissorhands this figure is an epic failure.