WPML, Loco and Polylang work perfectly fine, as they are not intercepting XHR request reponse bodies, but translating the individual components on the database layer. We can’t really do much to prevent these on-the-fly translations, it is out of the plugins reach.
I can check out the settings for this specific plugin, maybe there is something to change, but I can’t login, the username/password seems to be incorrect. Can you check please?