malatoi What a "push" notification means, is that the SERVER initiates a message to the CLIENT by utilizing an existing connection that was opened some time ago by the CLIENT.
IMAP, the protocol used to receive email, supports a persistent connection that the server will use to push messages to the client. Fairemail, using an IMAP connection to any server, will receive PUSH notifications.
To make that more explicitly clear; you ARE using push notifications.