I realize you guys mean this stuff as a joke, but just for ha-ha's, here is a chart of each AL team's 2013 GOP normalized rate (X-axis) plotted against Run and Win normalized rate. For each of these data sets, 1 = league average. In 2013, league averages were 81 wins (duh), 4.33 R/G, and .77 GDP/G. You can see there is basically no correlation between GDPs and runs scored, nor GDPs and Winning. Oakland for instance won 96 games while having a better than average 0.87 GDP rate, while the Sox won 97 (1.2 rate) while having a below average 1.10 GDP rate.
Less pretty version but with trendlines. You can see that each variable trends up with increased GDP.
Also:
Pearson correlation of R/G and GDP Rate = 0.322
P-Value = 0.242
Not statistically significant, but a positive correlation, aka more GDP = more R/G.
Pearson correlation of Win Rate and GDP Rate = 0.262
P-Value = 0.346
Again, positive but not significant correlation.
Even with a small data set, though, we can show pretty convincingly that OPS correlates to runs, and this is why it is still very useful at a team level despite all of the attempts to refine it.
Pearson correlation of R/G and OPS = 0.971
P-Value = 0.000
Understanding that 2013 doesn't represent the entire history of baseball, of course, I would generally expect the general conclusions here to remain valid. Of course, the counterargument to all of this is that the Sox are currently hitting into 1.7 GDP per game, which would be equivalent to a 2.21 normalized rate on my chart, in other words, completely off the chart.