I was just thinking I'd have each experienced player throw away an influence disk. New players seems to waste their actions, especially on the early turns. Forcing knowledgable players to reduce their actions seems like a decent way to balance that.
That's a massive disadvantage. To put it in perspective, the Eridani have two fewer disks, but as compensation start with 26 money and 2 extra techs. And that's probably insufficient compensation, as they're generally considered the weakest faction in the game.