Nobody wants a Qt-based application port, for most of the same reason nobody wanted a (Java) Swing-based port. They don't want ports, they want native apps.
The only people who want to provide Qt-based apps are developers that want to put themselves ahead of their users.
[edit] Perhaps downvoters can reference a cross-platform widget toolkit that was successful in the market? So far, Java, Qt, WxWidgets, and Gtk have not succeeded as cross-platform GUI libraries. Are there any break-out successes I'm missing?
Otherwise, I don't see what the complaint is, so perhaps you can elucidate and downvote.