You can keep discus in tap water. But ask yourself why discus keepers do tons of water changes. IMO it's because the fish, like altums and U. fernandezyepezi, evolved in very clean water, and so any elevated levels of DOC or bacteria will ruin a discus in short order. As soon as people post for help with a discus issue, my first question is, what are your water changes like? A large percentage of the time, they are not keeping the water clean enough, and so the discus become stressed and then susceptible to things like hexamita, HITH, bacterial infection, etc.
That same thing applies to lots of SA fish. I'm convinced that altums and panda uaru, for instance, crash on import due to bacterial issues. You're taking fish from nearly pure water that's too acidic for most bacteria to live in, and trying to acclimate them in tap water where bacteria thrive. Their immune systems are not accustomed to this.
When I imported Heros severus a couple years ago, I had the same issue. They are a blackwater species from Rio Negro, and within days were sloughing off slime coat and had full blown bacterial infections. I spent two weeks cleaning them up. Look at all the small F1 that came in sickly from Wet Spot a couple years ago. Most people lost theirs to ich or the fish just weren't "right" from the time they got them -- dark, thin, not eating well, not growing. I think that can also be linked back to the fact their parents were wild blackwater fish. One generation of being tank-raised is not enough to negate thousands of years of evolution.
Anyway, I do believe temperature plays a role in all of this. And sometimes I think people don't keep their fish warm enough. For instance, discus and panda uaru. They can withstand dips into the 70s, but try that long-term and you won't have discus or pandas for long. When they're fished in the wild, collectors have taken temperatures up into the high 80s and low 90s. I usually maintain discus in the low 80s and pandas in the mid 80s. My panda uaru tank also has a pH reading, according to my digital probe, of 3.5. So far, so good.