Even in the most extreme case of dominance, where H^2 greatly diverges from h^2, the additive heritability is not zero. (But if you had a trait in which heterozygotes were distinguishable from homozygotes, but the two types of homozygotes were not distinguishable, then h^2=0. I know of no such trait.)
Even in the most extreme case of dominance, where H^2 greatly diverges from h^2, the additive heritability is not zero. (But if you had a trait in which heterozygotes were distinguishable from homozygotes, but the two types of homozygotes were not distinguishable, then h^2=0. I know of no such trait.)