IDK - it's pretty complicated to study, even under controlled conditions. A "thick mucus layer" does tend to thwart ich infections (Synchiropus dragonets and eels seem inherently more resistant to Cryptocaryon) but adding artificial slime coats (bandage in a bottle sorts of things) does nothing to help fight off infections. I don't know if the immune response seen in fish that survive an infection is due to something in their slime coat, or something else.
It is generally accepted that immunity to ich is temporary - I've heard time frames of around 4 months or so. I don't know anything about ich mutating in every cycle - that seems a bit fast to me, even bacteria can't do that.
There is a lot in the popular press (and a few studies I think) about regional population variations for ich - mostly involving salinity tolerance - but in those cases, it seems that the population involved is different at the very start of the infection. For example, I used to prescribe a specific gravity of 1.012 to control ich...until a few cases kept cropping up where the disease continued until the SG was dropped to 1.009. Is that due to different strains? IDK, it could be that, or it could be due to poor implementation of the hyposalinity process.
I still do not recommend "ich management" as a viable technique in most cases. I wrote my article, not because it works well, but because there is a HUGE amount of pressure from aquarists to deal with ich in a reef situation where normal therapeutics cannot easily be used. I offer it up then, as sort of a "well, if you can't/won't do that, try this" sort of thing.
The vast majority of success seen with "ich management" is when it is caught very early (low propagule pressure) in larger reef tanks (again, lower propagule pressure), with a mature microbiome (critters that tend to eat tomonts), good foam fractionation (wet foam exports theronts), good mechanical filtration (traps theronts) and usually a UV sterilizer, and sometimes ozone application. Where it rarely works is when a person has a small, 6 month old reef, adds a bunch of non-quarantined fish, doesn't catch the disease soon enough, etc.
I managed 180,000 gallons of tropical seawater in a variety of systems for over ten years, with all fish getting my standard quarantine process. No cases of ich, ever, and none showing up on eDNA. For me, that's the best outcome.