But the research does have a questionable assumption. On p 5 it says, "Such a result would not likely be due to differences in the methods used to generate g in the various datasets under comparison, since g is consistently measured by a wide variety of tests."
This is true. However it is also true that, as http://vserver1.cscs.lsa.umich.edu/~crshalizi/weblog/523.htm... points out, that all evidence we have is consistent with g being a correlation between different ways of weighting a large number of independent factors. If so, then it is easy to have two test measuring g that are fairly well correlated with each other, one of which picks up a particular factor and the other does not. If a gene affects that factor, then the test you use to measure to find these correlations will matter.