I think there are some misperceptions about inbreeding here. Inbreeding is certain to occur in any finite population. If you're expansive with your definition of inbreeding it's impossible not to inbreed, since all individuals of a monophyletic species come from the same ancestral population. In some (probably a minority) situations inbreeding definitely does have benefits compared to outbreeding. A good example are two closely related populations of plants (this is from a real paper, I forget the species), one in the mountains where it is cool and dry and one in the valley where it is warmer with a longer growing season. Both are well adapted to their respective locations and climates. If there is interbreeding between the two, the resulting offspring is less fit in either location than the parents, so inbreeding within each population is reinforced. In animals, inbreeding has been noted in the cheetah, which is so inbred that (again, another actual experiment) one can take skin from any cheetah and successfully graft it onto any other cheetah without rejection. Their genomes show very low heterogeneity, if I recall correctly one of the lowest of all mammals. A hypothesis in this situation is that the majority of the deleterious alleles have already been eliminated from the population (fixed at 0). Granted, hunting by human beings probably hasn't helped the situation. Without inbreeding, sympatric speciation (speciation where the parent and new species are not separated geographically) would be difficult to impossible.
As for clownfish, seeing as how they do not widely disperse in the wild, I would not be surprised to find many small wild populations that show low heterogeneity. Remember we're talking about a group of species where often, due to sex changes, a lost parent is replaced by an offspring (e.g. if the male dies, one of the juvenile offspring will pair with the female, its mother). My point is that without knowing the heterogeneity of the wild clownfish populations where they collect their parent stock, it's impossible to know if their breeding methods significantly increase the rate of sib or parent mating from the wild. I also don't know of any connection between barring patterns and strongly deleterious alleles. As for "benefit of the species" I think that is beside the point, as captive clownfish are completely reproductively isolated from their wild counterparts. From an ecological standpoint they're as good as dead, especially in that unlike a cat or dog they're not going to go feral (god help us) and overrun the city streets . Welfare of individuals is important, we are morally responsible for the well-being of our livestock, but if concern for the species as a whole is foremost then the possibility of fixation of deleterious alleles from inbreeding captives shouldn't be a large concern, it should be protecting wild populations from overharvesting. I also highly doubt that ORA is going to risk their all of their broodstock to inbreeding depression.
As for clownfish, seeing as how they do not widely disperse in the wild, I would not be surprised to find many small wild populations that show low heterogeneity. Remember we're talking about a group of species where often, due to sex changes, a lost parent is replaced by an offspring (e.g. if the male dies, one of the juvenile offspring will pair with the female, its mother). My point is that without knowing the heterogeneity of the wild clownfish populations where they collect their parent stock, it's impossible to know if their breeding methods significantly increase the rate of sib or parent mating from the wild. I also don't know of any connection between barring patterns and strongly deleterious alleles. As for "benefit of the species" I think that is beside the point, as captive clownfish are completely reproductively isolated from their wild counterparts. From an ecological standpoint they're as good as dead, especially in that unlike a cat or dog they're not going to go feral (god help us) and overrun the city streets . Welfare of individuals is important, we are morally responsible for the well-being of our livestock, but if concern for the species as a whole is foremost then the possibility of fixation of deleterious alleles from inbreeding captives shouldn't be a large concern, it should be protecting wild populations from overharvesting. I also highly doubt that ORA is going to risk their all of their broodstock to inbreeding depression.