Oh, please tell me about how having a single button for everything provides great UX. Seriously, no back button is what you call great UX?
The standard on iOS is to implement navigation buttons in software as needed. Done right, this is better UX, because different apps can provide different navigation buttons to support different navigation schemes.
iOS's One Button to Rule them All also behaves different ways in different contexts, but the way it behaves is fairly easy to learn because it's consistently linked to the screen's visual state.
In short, neither is terribly great UI. But I think this is one of those cases where which one is worse is entirely dependent on which one you're more used to.
Ended up with a Droid Incredible 2. She loves it.