I know there's dozens of suggestions on ways to address this issue, and I still think I might prefer "grab has no cool down but 80% chance to miss."

But I was just thinking about how you never have to do skillchecks as a killer, and realized that might be another way to address it. Like, instead of the current contest to see who has to go to the bathroom or dies of old age first, when both players arrive at the hatch they both receive a series of simultaneous skillchecks. Whoever misses first, or gets "good" when their opponent had "great," takes their ego hit, and the game ends on the same night it started.