Great question, @45IPAC! And my answer is that depends. Has the person in the Constitutional Carry state done any training? I would think that someone doing optional training would hold more weight than someone taking a required course.
If the person in the Constitutional Carry state has not taken any training, I think it would be a horse apiece and based on the totality of the situation.
In a Constitutional Carry state would the jury be more Second Amendment Friendly than a state that requires a permit?