There is a clear desire for global notifications when an edit is rejected. While there is a warning for rejected edits, it's not the same thing.
I don't believe this is a duplicate of "https://meta.stackexchange.com/questions/120624/decision-on-rejected-edits-should-be-displayed-as-a-notification-to-the-editor". While that request did mention a notification as an option, it was marked as completed with a different implementation. This is a new request, asking for the notification.
Over the years have been multiple requests for notifications when an edit is rejected. To solve this issue, a small edit warning was added if you had recently rejected edits. Despite this, the requests kept coming in.
- Decision on rejected edits should be displayed as a notification to the editor (Jan 29 '12)
- Also show rejection vote reasons for accepted suggested edits (Mar 27 '12)
- Can rejected edits show up in your notifications? (May 28 '12)
- Notify on suggested edit rejection (Jun 18 '12)
- Notification when a suggested edit has been approved or rejected (Oct 29 '12)
- Notification on Suggested Edit approval (Nov 1 '12)
- Display status of suggested edits in StackExchange inbox (Dec 4 '12)
- Edit rejection should be clearly indicated for the first few occasions, with notifications (Jun 17 '13)
- Keep track of your rejected edits (May 4 '14)
- Notify users when an edit is rejected (Aug 6 '15)
- Add notifications about accepted edit suggestions (Apr 26 '17)
Note that nearly all of these questions have been closed as duplicates, linking back to the implemented warning for rejected edits.
I think there are quite a few valid reasons why some users would prefer global notifications to the current 'warning' system.
- Users already receive notifications for accepted edits via the +2 rep gain
- The current edit warning doesn't immediately specify which edits were rejected
- It's unclear whether the rejected edit warning is being shown for a recent rejection, or an old rejection you already knew about
- You only see the warning the next time you suggest an edit, which could be days or even weeks later
- The rejected edit warning is site-specific, meaning it doesn't display when visiting any of the nearly 170 other SE communities.
Personally, I would love the option for rejected editiedit notifications. It would help me realize when a large amount of my edits have been rejected, and how I can improve my edits in the future. With this said, in remembrance of all the mislabeled duplicates before me cut down before their prime, I will ask the oft-repeated question.
Can users receive notifications when one of their edits is rejected?
Edit: If SE wants to avoid showing rejected edits to users by default, a good compromise would be an opt-in option for notifications in account settings.