Getting the leadoff man on hasn't ended well for the Sox. The reason this Sox offense isn't more consistent in scoring a respectable amount of runs is that most in this line-up aren't good hitters. Sometimes the answer is that simple.
Fun fact:
Another post war fact. In the 4 WS the Sox were in prior to 2004 they had a record of 12-16. All 4 losses went 7 games. In the 4 WS wins from 2004 to the present the SOX have a record of 16-3.
Fun fact:
The 1950 Red Sox scored 1,027 runs in 154 games. They finished 4 games behind the Yankems. That's the most runs put up by a team in post war MLB . The 1931 Yankems scored 1,067 runs.