If you're referring to Dan Quayle, Quayle was a very good U.S. Senator who, like Palin, was tapped on the shoulder too early. He made unfortunate gaffes that allowed him to be depicted as a dunce. From the V.P. chair, not a lot that can be done to overcome that. After leaving office, he could have easily become governor of Indiana or Arizona, but chose not to do that. When he ran for the nomination in 1996, he was considered a joke candidate.
Both need to re-build their political reputations to overcome (false) media narratives about them. Where am I wrong?