If the wrong statute was listed on a traffic ticket in Arizona can they fight the ticket based on that mistake alone?

You can probably fight it on that basis ("Your Honor, I was wearing a seat belt when I was pulled over" if that's what they accidentally put down), but the court may not really care if you were written up clearly and the officer appears. It depends on a lot of factors, but the wrong statute argument might help you. Maybe talk to an attorney? (I tried talking to my attorney for one speeding ticket, he suggested an approach to take but recommended he not appear for me - can give an impression of wrong-doing!)