Feldman and Zhivotovsky's phenogenotype work showed the possibility that culture could independently affect phenotypes. Why not study inherited culture as it relates to genetic inheritance (as a more comprehensive theory would not necessarily be missing the missing heritability, for instance)?
I just worry your ceding the important distinction (ultimate vs proximal) to all things genetic as "ultimate". Chronological order does not imply ontological priority, does it?
Why do we consider the inheritance of culture as a different process than the inheritance of genes? Do genes and ideas not both live in me, reproduce in me, and effect me and each other? Seems to me the influence of the environmentalism debate that most needs to be shoved out: culture is within us as much as it is around us in our niche.
Article On evolutionary causes and evolutionary processes