Bidding a high number on the dial when dueling is the new equivalent of playing the o5r cards like Arrows from the Ranks or Unclean Cut - your person is cheating to win. It just doesn't take a card play now. If you want to duel honorably bid 1. If you choose to bid more then clearly winning is more important than honor.
I'm imagining some unusual duel comparisons that could be made - imagine a duel that compares claimed Rings.
A duel could compare excess Fate.
Or number of attached cards.
Or number of unbroken provinces - or broken.
Number of holdings.
Province Strengths.
Current hand size.
Number of characters in play.
There's a lot of interesting potential and some of these could have a neat story component to explain the unusual comparison.