No, there is more to this. In my view, GH is far more important for fish. I have never tested TDS. But having said that, I know the source of my tap water is actually very good. Zero GH and zero KH, with a natural (at source reservoirs) pH very acidic, in the 5's if I remember correctly. They now add soda ash to increase the pH. So the TDS are lower (I did once see the number, can't remember now). I am more concerned with the TDS I add via conditioner (one reason I so frequently say, do not overdose conditioner), plant fertilizer, etc.
The GH is for many species critical. I thought the article made that clear, but I also have one on hardness and pH:
Fish evolved to function best with the least amount of difficulty in soft water need a lower GH, whereas fish evolved to need minerals in the water need a higher GH, depending upon species as this is very general. But GH is crucial to most species. There is some level of adaptability but only for some species and subject to the difference (there is a limit).