Ok... We are discussing two different interpretations of the phrase "Group Selection".
Your use is apparently the Multi-Level Selection idea, correct? (which, according to Stuart Smith, is mathematically equivalent to Inclusive Fitness Theory; link below) Or just a plain "competition between groups" meaning? Meanwhile my use was more the Wynne-Edwards version of selection for traits to benefit the group regardless of the cost to the individual. Since both concepts are equally referred to as "Group Selection", there confusion arises. My apparent "strawmen" are a direct result of this (as those "strawmen" are valid issues with Wynne-Edwards group selection).
If you have about 20 minutes to spare,
Stuart Smith gives a great talk on this. Do you have any issues on his views of the lack of usefulness of Group Selection (in its many confusing uses)? (he doesn't refer to Pinker at all, so you can save any comments about Pinker love)
Or, if you don't have time for video,
Jerry Coyne discussed the talk back in 2010 on "Why Evolution Is True".
As far as my understanding of MLS goes, as well as my understanding of Inclusive Fitness, barring further reading of the literature on my own, I agree with the viewpoints of Stuart Smith on this.