This may be off topic, but perhaps some might be interested. A lutino pearl cockatiel, young, has been diagnosed with AGY (Avian Gastric Yeast, formally known as megabacteria). Supposedly, AGY usually happens when a bird is already under stress and thus their immune system is weakened. This tiel had some damage done to her tail area, which did result in nerve damage. It's possible that during the stress of all that, she got AGY.
Avian Gastric YeastThis organism can prove very frustrating to diagnose in a bird suspected of harboring it. In our pet birds, clinical signs can be very vague indications of illness, or the bird may show evidence of chronic disease, characterized by regurgitation, weight loss and death. This is a common presentation in the budgerigar. In some species, such as color mutations of the green-rumped parrotlet, the disease may present as an acute or sub-acute disease. However, in many companion bird species, infection may not result in clinical signs. It is suspected that there are different degrees of pathogenicity of AGY.
Avian Gastric Yeast (aka Megabacteria): Should You Be Worried?Avian Gastric Yeast Formerly MegabacteriaI'm not suggesting that any of the lutinos here have AGY, on the contrary I would not believe they have it as they show no signs of disease, but it *is* fungal, and is treatable.
As for molting, well birds under stress or even lacking in diet (which I doubt) may not molt. This is something that may be best asked by a vet to see if they have any other ideas.