The 2003 Red Sox are actually a very good example of the premise in the OP.
Led the American League in OPS+ and runs per game. IIRC, their 1-9 was historic in ways.
Finished exactly average in ERA, one or two teams above average in ERA+, and were below average in runs allowed.
They're the team that immediately popped into mind when thinking about the actual premise behind Sheik's post. They exploited market value in players on offense, while thinking that the market overvalued defense and pitching at the time, especially in the bullpen.
They finished, as many will remember, 2nd in the AL, and were probably the best team with an utterly incompetent manager who was fired at the end of the season.