My immediate thought was yes (for obvious reasons), but Beardog's thoughts on the idea have merit. Maybe instead we should insist that a candidate at, say, 60 or over must pass a thorough, real* test of their mental faculties.
*As opposed to that super simple test administered to the "stable genius".
Glad I saved this question; some interesting thoughts here. (Saw it as my insomnia medication was kicking in and thought I should wait to answer.)