Jellybean parrots I'm 99% sure are short body convicts. People will say they are parrot/con crosses but almost everyone that will tell you this has just heard it WOM and has not produced the fish themselves...go ahead and ask them to show you proof
I can see how they would think that because of the shape but what of balloon rams or balloon green terrors? You also get people that swear blind that balloon rams are the result of breeding a ram to an angelfish
If anyone has bred pink con to parrot then they(like me)will tell you the resulting fish were quite a varied mix but none turned out pink. The big giveaway comes down to genetics. The pink gene in convicts(and probably other fish)is recessive so to produce pink offspring both parents must carry the pink convict gene and for a female parrot that is just not possible. Also again with genetics the jellybean parrot is a)fertile and b) breeds true. Breeding JB to JB will produce 100% JB fry as it seems the short body gene in convicts is also recessive. The same male JB that bred with my parrot also fathered spawn after spawn with a regular striped female con and all fry were regular cons with about two thirds being striped and a third pink (my female carried the pink gene). The only 2 possible ways to produce a fish that is part parrot and also carries the pink convict gene is to breed a pink con to parrot then breed one of the offspring back to a pink con or breed 2 of the offspring together but I still dont think you would get anything that resembles a JB. This would only work if offspring of the con/parrots were fertile. I only had one attempted spawning between the siblings and at least one was sterile as the eggs were not fertilised.