Pinker's article is scientifically mistaken. There's a long-established scientific consensus about group selection models - that says they are equivalent to kin selection models - and represent a different partitioning scheme. Pinker's article isn't part of this consensus - he doesn't understand the topic.
His definition of group selection may exclude that from 'group selection' and include it within what he approves of - 'gene selection'.
It seems to me he's hacking away at the bone when he should be cutting at the joints - evolution can act on first-order effects (I'm faster, so I escape a predator or catch my prey) where you only need to consider yourself to see the benefit, or second-order effects (I cooperate on the hunt so we can all eat), where you only need to consider yourself and those with the same relevant genes, or third order effects (pea-hens p...
This essay at Edge touches on a few possible meanings for the term "group selection." Pinker argues that as a form of memetic theory it has no explanatory power, and that group selection for genes does not fit the evidence. He focuses on humans with some mention of insects that live in hives. So the essay doesn't seem surprising, but it does seem rather Hansonian.