Does obscuring the game log really help?

In an 8 player game on a large map (Eurasia, Hive) fog should make it harder to know which continents are held by who and how may troops they get. It seems to me like the game log ruins that. It clearly says how many troops they get, and usually its easy to figure out which continents they have. Shouldn't the whole game log be unreadable? Only hiding the territory names doesn't seem work.