I totally agree that Influence needed changes and that it was far too overpowered, so I look forward to change.
However, I'm curious to see how this plays out on Immense, Excessive, Insane maps. Even with the current system, getting a flip was rare. I don't want to see the "Krynn" playstyle be impossible on these larger maps.
I'd really like to see modifiers not only due to map size, but also based on Habitable Planet Rarity. If it's set to Rare then Influence gains can be much more generous.