The ship name literally comes from Klarion insulting Zatanna, and there really isn’t anything they have in common other than the fact that they both use magic.
M’gann and B’arzz/Martian Etiquette
Technically, the real B’arzz never spoke to M’gann in the show; the one scene they share has B’arzz under control of the Reach. I think I can kind of understand where this one comes from, and I have read a few fics with them that were kind of cute, but I really can’t bring myself to ship them.
(Please note that I am not trying to hate on these ships. These are just my opinions and reasons as to why these ships don’t speak to me)