I'm a little late to the party, but the situation "at noon the urn has infinitely many balls in it, but there are no numbered balls in it" is also silly and doesn't comport with physical reality.

If the question didn't explicitly mention numbers on the balls you might have a point, but once the balls are clearly labeled and distinguishable, it becomes pretty hard to give any coherent account of what goes on which comports with physical reality.

If your position is genuinely "garbage in, garbage out", then are you angry at every answer to this question which doesn't mention that it's "garbage in", or just the ones that claim the urn is empty at the end?