So I brushed the dust off my retrosheet database that's been dormant since my two toddlers tied me up with duct tape and scrounged up some data to investigate JD's theory.
I'm using data from 2002-2012 for this mostly because it was readily available to me.
If the team that struck out more in a single game lost that game, I'd mark it as a "THEORY_YES." If the team that struck out fewer times won I'd mark it as a "THEORY_NO". If the teams struck out the same amount of times I marked it as a tie.
In Coors field from 2002-2012:
So, yes, the team that strikes out less wins more often in Coors-- 55.7% of the time (if we throw out the "tie" games. JD's suspicions are correct in this respect.
But how does this compare to games in other parks? It stands to reason that if you aren't striking out as much as the other team you are probably having a better day offensively, no matter what park you are in. That's just the laws of baseball.
So for all other games in that same time period:
So that 55.7% advantage is actually less than the league as a whole. Your guess is as good as mine as to why this is the case, but my guess is randomness. The league rate sits at 60%-ish pretty steadily from year-to-year over that timeframe, but with a yearly sample of just 81 games, the rate for games in Colorado jumps around quite a bit.
I cross-referenced a lot of this data with baseball-reference and found no discrepancies, but since I'll readily admit I may be rusty if anyone is passionate enough to want to check my work here it is:
https://docs.google.com/spreadsheets/d/1Z91VCEqpSDng2OJ8z1Wv9g3JMnJSCQyNaITVGSptoE4/edit?usp=sharing