Not sure if Zaheer Abbas can be considered the game's great.
He averaged 36 in 42 Tests played away. His career average is boosted to 44 because of at home average of 58 in 36 Tests.
His career average against West Indies (home and away) is 18 in 16 innings His career average against New Zealand is 17 in 28 innings
There is more to batsman than average I guess ...