Sorry to jump in but has anyone checked the movement cost lately?
The table seems correct for the most part but I can't be 100% sure.
Grass and bush/tree movement cost seems correct.
But I tried to calculate the movement cost on battlefield with all units and I must say that mountain, swamp have a movement cost of 6, not 4. Hills have 4 movement cost.
Also Cavalry can walk over anything except for Mountains.
Can you confirm this?