Except that in the original problem, there cannot be more days than people;

...each day, one more person gets permanently transferred across to...
(Emphasis added.)

Then again, rephrasing the problem in equivalent ways has interesting effects:

Assume that the number of people is countable; assign each of them a natural number, but don't tell them which one it is.

Suppose that on the Nth day you move the person with the Nth prime number to the opposite sphere; every individual prefers case 1, where they have 100% chance of infinite happiness.

Suppose that you tell everyone their number and on the Nth day you move the person with the Nth number to the opposite sphere; every individual prefers case 2, where they have a finite period of agony followed by infinite happiness.

What's the Erdos number of an infinite number of monkeys juggling an infinite number of bananas?