Wrong.
Half of my legal Pokemon have incorrect areas in which they were caught. As long as the Stats, EVs, IVs and movesets are all Legal, nothing else will mater. Additionally, it was proven that having Moeletta, Keldeo and Genesect in your Pokedex was NOT the issue with the 13204 error (Danke to DaDeforest from GBATemp for that bit of info) but rather something else entirely.