I'd question all the bits you say are true. It's not very clear, but are you suggesting they spit out (ie chew) their food when they think another fish is sick? It's certain that fish, like birds, will often attack a sick or injured shoal mate. But it's quite a leap to say they blame the fishkeeper or become suspicious. I think by nature, they are wary and if they see tankmate after tankmate (of their own species if they are shoalers) vanishing, they suspect a predator is at work. Until you get the tank set up right for the species, they'll suspect that anyway. Small fish live with fear, and one of their biggest defences is habitat. If you get the set up right, they settle in.
For the OP's annulatus, they are surface oriented. I expect they like to live under overhanging vegetation, in shaded areas safe from fishing birds. Those areas have tangles of roots they can dart into if danger appears. So they like a tank with plants to the surface, or floating plants. That water probably moves, but is calmer along the bans where the plant roots are. So they like good filtration. And there, they hunt for bugs and spiders from the plants above.
You may have solved something with antibiotics, but which ones? And what did you solve? It was more than likely coincidence. I think it's very important for aquarists to avoid using antibiotics unless they know exactly what they are treating. Antibiotics are very valuable and very overused, in the hobby and elsewhere.