I would welcome to still have a possibility to have the same piece with the same image and the same name/notation abbreviation in all games. May be settable through settings, some might prefer some original piece name for actual game. I think for a player who doesn't specialize in one of these games it just causes confusion, there is no reason to call the bishop&knight piece in one game cardinal, in other archbishop, in third janus, rook&bishop has for now only one name (queen), rook&knight (marshall/chancellor), rook&bishop&knight (amazon, maharajah) - though this one is slightly different, as in mahajarah chess infinite piece value because of king role changes it, but the image could stay the same.
Cardinal/Archbishop/Janus looks like schizofrenia already