Generally, heritability refers to genetics, not upbringing. Specifically: "amount of phenotypic (observable) variation in a population that is attributable to individual genetic differences"
It wouldn't make much sense to report things that were related to upbringing together with genotype, as those are specifically the two things you want to decompose.
Yeah, dekhn you're correct. There are mechanisms of inheritance that aren't genetics (like heritable epigenetics, maternal effects, etc.), but when we're talking about "heritable" the vast majority is genes.
It wouldn't make much sense to report things that were related to upbringing together with genotype, as those are specifically the two things you want to decompose.