I've never played a 4-planet game of cosmic, so I'm curious... do you lose the use of your power when you control fewer than 3 home planets, or when you control fewer than 2?
Also (in the usual 5-planets per player version), I'm guessing that possessing the Genesis planet means that the rules stating " When three or more of a player’s home colonies are eliminated, the player loses his or her alien power..." should read "When three or fewer of a player's home colonies are occupied by that player's ships, the player loses his or her alien power."
Otherwise, the genesis planet would require you to maintain ships on 4 home planets instead of the usual minimum of 3.