For one week the loser's real work auto-reply explains that they are grieving a last-place fantasy football finish and may be slow to respond. Every email in gets the confession out. HR-safe wording is workshopped by the league's most employable member.
Budget note: this one costs nothing but dignity, which makes it a strong pick for leagues that would rather spend the pot on the champion than on the loser's downfall.
Seen in the wild: fantasyleaguelottery.com