The copper incident is unfortunate. For those who use tap-water, you'll notice that the longest time mentioned is 5 years.
The problem with tap-water isn't usually immediate as in the copper case. The problem is small amounts of minerals/elements that build up slowly over time. With evaporation they become concentrated then top-offs replace more of that element, and there is no way to truly dilute the water.
This is true of silicates, which we don't test for and can be problematic with regards to algae. The next problem is nitrates/phosphates which you are trying to remove with water changes, but if the water you're putting back in contains them, even at a lower concentration, your water changes won't be as effective. Slowly over time these too can build up. Protein skimmers can help alleviate some of this by getting rid of macromolecules and with them nit/phos.
When I was poor and in college, I did tap-water, I had the worst problems with algae. I moved into my new house, unpacked my RO/DI (which I had bought and had shipped 3 days prior to moving day), and started making water to set the tank back up. I haven't had an algae problem since! And the coral look so much happier.