Speculation is pointless when there are people that have bred these and many parrot crosses as well. You can have actual information if you listen and stop guessing. Shortbody or jellybean cons have been in the hobby for many years and have nothing to do with parrots except the look. I had shotbody cons myself in 2006 or 2007. There was a great breeding blog on them way back:
https://gregthecrazyfishguy.wordpress.com
It should be obvious that a parrot cross will yield a great many phenotypes (a hybrid of at least 3 fish at this point) and very rarely is parrot shaped one of them.
This ridiculous assumption that anything short bodied must automatically be a parrot cross is a strange and unfortunate development.