Noga cites the same paper, but says, "Recovered fish develop a protective immunity that can last up to six months; however, some fish are not completely protected." So, I settled on 4 months as a more likely real-world time frame.
Now, Peter Burgess is a bit old school, and many of his early papers were preliminary and haven't stood the test of time (especially his work with Colorni). This paper is behind a paywall, but the abstract needs to be read carefully between the lines (see in bold)
Acquired protection to Cryptocaryon irritans has been demonstrated for the first time, using the grey mullet, Chelon labrosus, as an experimental host. Fish, immunized by controlled infections, established immunity against challenge infections with C. irritans, the degree of protection correlating with both intensity and exposure levels, with relatively few fish developing full protection. Protection lasted for six months in the absence of re-exposure to the parasite.
The last sentence makes no sense to me - if the fish weren't challenged with re-exposure, then how were they considered to have protective immunity?(grin).
Jay