Some hybrids are beautiful and I do think that hybrids between very similar species (say, suns/jendays) don't tend to have health issues as might be the case among hybrids between more distantly related species. Also, parrots can and do hybridize in the wild. Mostly it occurs among similar looking species where their ranges overlap. Appropriate nesting sites for parrots are fairly rare, and it is not unusual for a pair to steal another pair's nest site and kill their chicks or eggs to use the nest themselves. Except, they sometimes miss an egg, and end up incubating the egg of another parrot species with their own. This baby will grow up imprinted to its adoptive parents' species and will seek a mate of their species, resulting in hybrids. I've heard of this in macaws and cockatoos, and it probably happens in other species, too.
Personally, I'm really not a fan of breeding hybrids without a very good reason for it (basically when needed for genetic diversity), but not too strongly opposed to breeding hybrids that are in the same genus. I think intentionally breeding galahs/tiels, or Hyacinths/militaries and other cross-genus breeding is irresponsible and may cause health and behavior problems.
I know people like the idea of keeping the species pure and genetically the same as their wild ancestors but really, most of our pet birds are not the same as their wild counterparts anyway. We give them lots of food, safety from predators, ect.; babies that happen to be slower fliers, or uniquely colored, or any of a variety of conditions that might make them stand out to predators in the wild, have no effect on their survival as pets, and some may be bred for different colors too.