A Firebase Cloud Messaging push notification contains what the app developer's server puts in it. That could include the message body or it could just be an instruction to the app to poll the server for new messages. It has nothing to do with the notification that's displayd on an Android device. Those are entirely local.
An app that cares about privacy wouldn't send anything more than a poll instruction over FCM.
But if you have strong end-to-end encryption for messages, then you don’t have to care about the transport anymore, you assume they’re all compromised. At that point you might as well use the push notification system as your transport, given both OSs allow applications to intercept the push notification locally and decrypt it before it’s displayed to the user.