The constant inbreeding of ANY animal will eventually cause some type of genetic anomaly to occur. Sometimes its a color mutation, or pattern abberency, and other times there is some other consequence, like beaking in super cinnamons(I think), missing eyes in albinos, or severe kinks in caramel albinos. In dogs inbreeding has caused a lot of auto immune diseases to surface in different breeds. So to answer your question continued in breeding to fix traits will eventually lead to issues, some severe and some not so. I don't think that we are seeing severe problems yet. Enought wild blood is still collected and used is breeding programs. And anything different coming from the wild is probably the result of a spontaneous mutation( like the candy ball)..We know about beaking, and kinking, missing eyes ect., and I have heard anecdotaly of lines being prone to R/I's(weakened immune systems). Which no breeder out there will ever admit to. But this is why as a breeder you must assemble as diverse a breeding group as possible, even going so far as trying to find out what locality your wild caught/hatched came from. Unfortunately that is almost impossible, unless you deal directly with your importers. And thats just for your normals. As for your morphs you really have to research where they came from and what they go back to.
Mike