I would think that diet plays a major factor in the level of flavor, "gamy" or otherwise. I know that venison harvested in Michigan's upper peninsula, which is mostly forested, generally has a much stronger flavor than that from S. lower Michigan, which is mostly farmland with grain, corn, soy the major crops.
I suspect that a chicken that is allowed to free range and eat a more natural diet is going to have a stronger flavor than a chicken of the same age and breed that has only been fed a diet of broiler/fryer feed its entire life.
When mine are ready, I'll be quite interested to see how the flavor is compared to the commercially raised chicken I'm used to. I know the times I've bought or had more naturally raised chicken the flavor is superior, but alas, the price is also generally "superior" (not begrudging the producers that can get it, just saying its kind of high for my budget on a routine basis).