We've used Happy Camper in our black tanks for over 11 years of full timing without any issues. It's a product with enzymes so turning color in water would make sense, but I don't see how something you're putting down your black tank can effect the water in your faucets. Clorine there is most likely from the water treatment wherever you are. Even The Ranch in New Mexico, were we own a lot, uses a small amount of chlorine in the water after it's purified with reverse osmosis. The clorine is necessary because you can't be sure the distribution pipes are not leaking and bacteria getting into the system that way.
Dick, Joyce, Diego, Picatso and Gustav
2017 3720 RL, and 2013 HC 343RL
2017 3500 Dodge Maxi DRW 4X4, Pullrite Hitch, IS, Disk Brakes, 3rd AC, Winegard Traveler, Bathroom door mod, Dometic 320, couch for desk swap, etc.