If I'm understanding the text correct, there are some correlation coefficients of 0.09, 0.1, 0.12 etc. I didn't see in my brief look at it if the sample was large that these would still be statistically significant. It seems misleading title still.
Like it has "social values" and "activities" in there but as far as I can tell it includes samples from various different countries. As long as twins are slightly more likely to end up living in the same country even when adopted - then its hard to say a score of like 0.1 has anything to do with genetics. I'm sure they tried to adjust for it somehow, but I'm pretty skeptical the headline result is capturing anything meaningful.