The seven best counts in which to hit, by OPS, are (in order): 3-1, 2-0, 2-1, 1-0, 0-0, 1-1, and 0-1. The Sox ranked 20th or worse in the majors in each of those — a bottom-third offense in the counts that offered the greatest opportunities.
While the team ranked among the six most productive offenses in the three worst counts (0-2, 1-2, 2-2), the upside of being elite in those counts is typically limited. In those two-strike situations, a single qualifies as a great outcome, while home runs remain rare.