As far as I know, no one has ever properly done such a study. It would also be quite difficult to do without genetic data because of admixture and the continuous stream of new immigrants from these countries and the changing selection over time.
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Yes, I get it. You have high standards for stuff you don't like. Priors and all that. But as far as this kind of research goes, that paper is pretty rigorous. Fixed effects, tracing ancestry movement across time. About as good as it gets without genomic data. Take it or leave it.
Now, it would be very nice to get a large genomics dataset and do admixture analysis for sub-European differences, and relate these to IQ/SES. 23andme etc. have this kind of data, but hard to get from them. I tried with their state-data but lack of power.https://openpsych.net/paper/8