Ah don't you just love how much the word hybrid can bring out the conversations.
Anyways from what I gather everyone here agrees.
Hybrid= mix of any species... (Maybe even location, if we are assuming location really is a new species.) Example: most misc mbuna you find at petstores. IE yellow lab x red zebra
Linebreed= Selecting 2 fish from same species to get desired traits. (My example would be german red peacocks... but I think the ACA feels they are hybrids...)
And now the new term...
Linehybrid= taking a reproducing hybrid species (a new species now?) and breeding desired traits. (Likely candidates = flowerhorns, dragon blood, strawberry peacock, OB peacock, etc.)
If you feel my examples don't match up give me proof that your fish isn't a linehybrid. (IE documented evidence with photos from the original breeder.)
And obviously "Linehybrid" are usually quite pritty. But lets say their fry must look like the parents, and be able to reproduce.
No again the whole reason we tend to find it hard to sell hybrids/linehybrids is because these fish in the informed comunity have a large stigma agianst them.... The only problem is I honestly feel they are our best bet at getting more people interested in the hoby. Which means we need both breeders whose goals are to preserve species (exspecially endagered/exstint in the wild) but we also need breeders that's goals are to get the general public into fish keeping. (Note... most of the second case is already taken care of by the fish farms... they are going to sell whatever they can that people want, which means hybrids.)
So ideally most of us responsible fish keepers would concentrate on preserving species lines. But that doesn't mean we can't experament every once in a while. (And just make sure you never sell your fish without informing the seller... and hope they never sell the fish without being responcible too.)