From The Condor ...

"But debates do not really tell us whether a candidate can govern and lead. In fact, some of the skills of the debater are antithetical to leadership. KQED's Krasny pointed out that political debates need heat and tension. That is just what a governor, who is facing hidebound ideologues in both parties, does not need. His job is to defuse heat and tension and fashion a solution. "

More relevant to governing than debate skills, would be to have candidates make a sales call. Persuade someone to do what you want them to do. But we do have that test - it's the money race. A candidate who inspires people to give up their cold, hard cash is very persuasive.