It does create the funny paradox where, up to a certain point, a rational utilitarian would choose to kill and a rational mass murderer trying to maximise deaths would choose to double it.
You would need a crazy low probability of a lunatic or a mass murderer being down the line to justify not to kill one person
Edit: Sum(2n (1-p)(n-1) p) ~ Sum(2n p) for p small. So you'd need a p= (2×232 -2) ~ 1/(8 billion) chance of catching a psycho for expected values to be equal. I.e. there is only a single person tops who would decide to kill all on earth.
Idk if I speak for other people here but being critical of capitalism doesn't necessarily mean you want to copy paste North Korea. Or the Ukrainian SSR.
It does create the funny paradox where, up to a certain point, a rational utilitarian would choose to kill and a rational mass murderer trying to maximise deaths would choose to double it.