The reason why I object to group-based arguments about intelligence is specifically because the intra-group differences are bigger than the inter-group differences (though I also agree with some - though not all - of the critique made by the addendum/critique/reply linked under the abstract).
"Men are taller than women" is sometimes used to teach introductory ANOVA, sometimes to argue for a diversity of crash test dummies, but also to argue at "women" are less good for something because "they" are shorter. The first is trivial. The second would mostly be better dealt with by dealing with the broad range of human heights (5th/95th percentiles?) rather than merely adding an "average woman" to the existing average man one. The third is bogus because When many men are shortarses and many women are taller than me. So we're again generally better measuring people's actual height for things where it matters. Whichever group differences in intelligence are found, you're going to end up with overlapping distributions, making the groups a crappy proxy for individual variation in any case. But that's exactly what the author advocates doing in their section 4.
If you want to establish which genes are linked to intelligence then go ahead. It's not particularly important or glamorous work as far as I can see, but whatever - the academy has always had plenty of heterodox interests in it. But people jumping from nucleotide polymorphisms to grand social policy (that just happens to echo a century's worth of rightly-discredited eugenics advocacy) deserve the scepticism they get in my view.