Well I'll be honest~, your fate isn't too dependent on the wheel! That was one of the initial discussion points for us was if we wanted the mechanic to really drive the ending or not, and unfortunately I'm a sucker for a happy ending so we decided to ensure the ending was something the end user could still control / manipulate, so getting a bad ending is really a purposeful choice. That said, I really like that as a tag line.
"Spin the wheel of fate! Wheel you win her over?" or something cheesy like that, LOL.