As far as I know, Rick Scott is not a liar, so all things are likely not equal in Florida. But the question is worth considering.
I think it boils down to credibility. If the candidate just can not tell lies without giving away that she's lying (i.e. facial expressions), then I would vote for her. If she can not get away with lying due to incompetence (which would be the case here), then I would not vote for her.
The difference is that incompetence is rarely confined only to one area. If she habitually shoots herself in the foot, then she shouldn't be allowed near any dangerous objects, not just firearms.