Watcher - you are correct. GH is calcium and magnesium hardness, which has no effect on KH or pH. GH reflects whether or not it is "hard" to make a lather with soap. GH also affects the egg membranes of certain blackwater fish, making them hard to breed in higher GH water. Many water utilities treat the water to knock down Ca and Mg, to reduce scale build-up in pipes.
In most natural waters the GH and KH reflect the rock over and through with the surface or subterrainian water has traveled - if limestone is involved at all, both will be elevated and the pH likely will be high, but that does nor mean that GH affects the pH, only that the source of the GH also provided KH (carbonate and bicarbonate) in parallel with the Ca and Mg. There is a lot of limestone in the world, and carbonate/bicarbonate is the buffer system found in most natural waters. Only in places of torrential rains and their washing out of all soluble materials over geologic time do we see blackwater - as in the rainforests of the tropics, the costal rainforest of the Pacific Nortwest, and some restricted areas in the Applachian highlands