My cleaner developed the same black spots, I was also told it was an incurable disease, and prepared for his imminent demise. He shed, it went away. It came back. He shed again, and had an awful molt - came out all curly-antennaed, missing legs... so I added some iodine, thinking he must need it. The black spots came back, along with another rapid molt.
I had a brainstorm. I had been adding Essential Elements and iodine to the tank as per the bottle instructions, and realized the shrimp might be trying to rid himself of something by molting, and the black spots might be a symptom of iodine overdose. I stopped adding EE and iodine.
One final molt, no missing legs, no curly antennae, no black spots. That was months ago. My shrimp is spot-free, and just fine. Maybe it was a conicidence, but I don't think he had a disease, just a noob owner adding too much crap to the water
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