Here's what I know (I am in medical school, I am not a doctor, this is not medical advice): Copper does have anti-bacterial properties, which means it could possibly kill the beneficial bacteria in your tank. that said, I have been monitoring ammonia and nitrite to make sure I don't get spikes due to this die off. I could not tell you if these specific strains of bacteria are susceptible to copper or if the dosage of copper used is high enough to cause mass die off. That said, I will be watching that closely.
Brook was what I was thinking too, but would that affect the other species of fish in my tank, or just the clowns?