Minor nitpick: In the hover, it says Cultural Level 3 etc. Shouldn't it be Influence Level 3?
Did the influence thresholds change? It doesn't look like it so I changed them myself. I basically gave all the Legendary values to the level below it and then trebled all of the values for Legendary. I think it will be somewhere between doubling and trebling that is actually best but I don't want to see an accidental culture win like I did last game.
Bug?:
I started up a game and worldbuildered in some of the standard destroyers. None of them could move 2 - only 1 movement point it seems. The weird thing is the mouseover would tell me I could go 2 tiles in one move but when I let go of the mouse to give the move order it only made it half way and its movement points were used up.
On further investigation, nothing seemed to be able to move more than 1 tile!!! Even on all types of roads.
Unfortunately this makes it unplayable.
I followed the installation instructions exactly so let me know if this is a problem only I am experiencing. If really necessary I could provide a gamesave.
Regarding healing:
Unit healing seems to be the same as in BtS. 15HP per turn in home territory, 10HP in neutral territory, 5HP enemy territory, 20HP in home cities.
Given that starbases are inside home territory, they get 15HP per turn already. Since they get the two free medic promos, they actually provide better healing than cities by a full 15HP. I am unsure if this is intended or not because it seems to have been that way all along. I can't see any real balance problem with this. It just surprises me a bit that starbases are such good healers.
See spoiler for my current suggestions for influence thresholds.