What does Governor have to do with foreign policy or military command, which are the only real duties of a Presider? Otherwise the Presider just signs bills, or vetoes them once in a long while. He or she may from time to time send over a state of the Union.
Nobody has experience being the president with foreign policy or military command except a former president.
However governors have experience being the commander of a large sovereign state. That is about as close as one can get.