Most people don't know that the Electric Blue Jack Dempsey is a Hybrid--that's how breeders get that great color. Thus, as with some hybrids, there are numerous problems with them. They are more delicate, need almost perfect water parameters, the best tank environment you can provide, and then you have to figure out what each one will eat!! They are more susceptible to parasites and diseases that come along--often things that your other fish could deal with. Breeding will only give you problems, as a hybrid rarely breeds true to one of its species, much less with a third specie interoduced. Even breeding back to a normal Jack may be difficult to impossible. I'll never have one in my tanks--rather have a normal Jack. Make life alot easier!!!!
This new variant occurs naturally. However, that's besides the point. Except for often being sterile, most hybrids are much healthier than purebred animals, especially animals bred for pets. That is why cat/dog/fish/etc. breeders out-cross their champion animals with new variants or animals from other genetic pools to create HYBRID VIGOR, the term for the tendency for mixed breeds to be stronger than purebred, often INbred animals.
I wonder if you are thinking of inbred animals who have been so genetically modified that they are no longer vigorous. Consider all the new "designer" dogs like puggles, labradoodles, etc. All of these F1 animals are MUCH healthier and more robust than their purebred parents. It's the crazy breeding that people are doing with the same gene pool to get certain characteristics (bigger chests in bulldogs, flatter noses in Persian cats, brighter blues in rams) that produces weak fish. However, these animals are not really hybrids--people are attempting to hone in on one desired physical trait or phenotype, not mix animals to create a new trait. A hybrid is a mixing of two distinct variants usually done to create a distinct third variant (like parrotfish).
The fact that EBJD are sports of the original/plain Jack Dempseys makes them mutations, not hybrids. It's not as if people are breeding Jack Dempseys to turquoise discus to get the blue color. In fact, I can't think of another Meso-American cichlid that could throw that color when bred to Jack Dempseys.