This is wrong in various ways. For example, it’s not strictly worse for liberals if Bob’s RNG makes him play a fascist policy. If he played a liberal policy, liberals have no information about whether 0, 1, or 2 of Alice and Bob are fascists, whereas if he played a fascist policy, liberals know 1 or 2 of Alice and Bob are fascists.
This is wrong in various ways. For example, it’s not strictly worse for liberals if Bob’s RNG makes him play a fascist policy. If he played a liberal policy, liberals have no information about whether 0, 1, or 2 of Alice and Bob are fascists, whereas if he played a fascist policy, liberals know 1 or 2 of Alice and Bob are fascists.