Anecdotally I saw many people playing Chinese chess on streets all around China but I never saw anybody playing Go/Weiqi. I saw people playing Mahjong and games of cards (long thin cards.)
I don't know which game of chess is popular in Korea, western or Chinese ones? Or is there a Korean variant? About the popularity of Go/Baduk there I was told that it was because of the three years of mandatory military service and the availability of go boards in the barracks.