I don't think Pence does this merely because he's afraid of being falsely accused. I think he does it also because he's seen too many people in his position give in to temptation, and he knows that he is not immune. So he's taking proactive steps to keep himself from being in a position to give in to temptation.
I think it's also a lot worse in politics, in that you might reasonably have someone try to entrap you purely for political reasons. There are "politics" in commercial and academic settings too, but not usually played at the same level. If I were Pence I wouldn't want to have 1 on 1 meetings with men, either.