I'm curious... are the arguments that this "immunity" is innate or acquired?
If it's acquired, how would that work? I mean, fish have immune systems like we do and they are not equipped to acquire immunity to parasites (nor are we). If immunity to parasites was possible on a reasonable time scale, there would be no TB (or many other tropical diseases) -- or at the very least we would have vaccines against TB.
I would believe that some fish have innate immunity (not a species of fish, but individual fish and their off-spring). But the idea that animals can acquire immunity to parasites is not consistent with basic immunology.
In reading this thread, I am not sure whether the pro-immunity side wants to consider peer-reviewed science, but here is a good general review on immune systems and the difficulty in acquiring immunity to parasites:
http://www.nature.com/nri/journal/v10/n2/full/nri2673.html (this isn't about Ich in general, but it does cover dinoflagellates and Ich is a dino).