Questions about Variance and the Mental Game

1) In a soft lineup, particularly live, what are pros and cons of always running it once?

Pro: If Villain loses and is mentally weak, they will tilt and try to "get even."

However, con: If they win, will they fold too much and "lock it up"? While this is still -EV, it is more conservative.

This is particularly a concern when Villain is tilting and on a weak draw. Will they be more likely to fold if they know you only run it once, knowing they're behind?

If you have a mental and bankroll edge, is it "worth it" to always run it once, or is it simply too dangerous for everyone?

2) Are there any PlayMoney/ rake free apps that allow both players to automatically split the pot based on their all-in equity? (Similar to PokerStar's buyout, but without the additional insurance rake). If you had to estimate, how would that affect the standard deviation in bb/100 hands if every all-in pot was split according to each's equity?