The only likely scenario where it goes to sudden death is if the first team kicks a FG and the other team is in a 4th and long situation and matches.
If the first team scores a TD, the second team- if they score- will certainly attempt the 2 vs. giving the ball back to the other team in a sudden death situation.
Knowledge is power and deferring is the obvious choice, outside of a weird weather situation where the wind direction is more important.