First, I think this is somewhat academic because many users will be confused when they receive more than one notification for the same email message, regardless of the content of that notification.
Historically, Postfix will send a "relayed" notification when the sender requests "SUCCESS" notification but the remote SMTP server does not announce DSN support. Otherwise, Postfix delegates the responsibility for "SUCCESS" notification to the remote SMTP server. Presently, we have a new feature to send a "relayed" (after delay) notification when delayed mail leaves the local queue. If the user requested "SUCCESS" notification, then I think that Postfix should still delegate that responsibility to the remote SMTP server as it has done historically. I could remove the word "successfully" from the bounce daemon's "success_template" text, but I doubt that it would improve most user's experience. The problem is primarily with too many notifications, not their content. Wietse