Duh! What was I thinkin'? That couldn't be true. It wouldn't be more than double. If you take the Red Sox' 83 unsuccessful tries (1919-2002, minus one for 1994) and add on the Braves' concurrent string of 33-34 years (1919-1952? '53? when was their last year in Boston?), you get about 116-17 unsuccessful tries for Boston. Chicago's 168 tries is a lot more than 116-17, but it's not more than double.
(I don't think the Braves ever won the World Series during that stretch, did they?)