When Charles Murphy defeated Ron His Horse is Thunder for Tribal Chairman most believed that he would allow a vote on the subject. That probably played a role in the election. Based on pre-election positioning, I think they did elect a chairman who was open to a vote. Here is some of the story from WDAZ after the election.
His Horse is Thunder, a staunch opponent of the nickname and logo, did not allow a tribe-wide vote on UND's use of the Sioux name, saying such a vote would not be binding. In July, Murphy told WDAZ he would consider allowing a tribe-wide vote on UND's use of the Sioux nickname if elected chairman.