Information in books and on the web which specify the water of the fish's natural habitat generally refer only to the "hardness", but the actual measure relates to the GH. GH, or calcium and magnesium hardness, has impact on breeding in a number of fish, as many eggs, specifically the egg membranes, are quite sensitive to those ions. Calcium and magnesium by its presence or near absence, has impact on the ability of sperm to penetrate the egg, and later on the hatching of the embryo from the egg.
Most fish are quite adaptable to both GH and KH (perhaps KH is better thought of as alkalinity or buffering capacity than as another "hardness") for maintenance. Some species do need attention to the GH for breeding purposes, but even those specialized fish as adults are not adversely affected by higher-than-breeding levels of GH.
HTH