Well, I'll pose of few questions.  When the matter is that great king from the Bible, do we hear about the "Experience of Solomon"?  If the most well-known ancient Chinese sage is to be quoted, do we cite him as "experienced man Confucius"?  If we're going to offer some clever apocryphal advice, do we say "An experienced man once said...."?  Obviously, what belongs in the place of experience(d) in these questions is wis(e)(dom).

And this is precisely what belongs in its place in our discussion of candidates.

Some may now roll their eyes and say that this is just semantics, as a definition of "experience" is "knowledge or practical wisdom gained from what one has observed, encountered...."  But note that this is the fourth definition in the linked source, and many people associate the word with the second definition: "the process or fact of personally observing, encountering, or undergoing something..."  And, as the saying "Wisdom doesn't always come with age; sometimes age just shows up all by itself" indicates, wisdom doesn't correlate very closely with actual time-spent experience.  Some people have more experience after 1 year than others do after 10.