There is a workaround I can suggest. Your goal can be achieved by use of Veeam ONE. You can disable global notifications in VBR and enable related alarm notifications in Veeam One
. For instance set Replication Job State alarm to notify you about warning and error only and Backup Job State/ Backup Copy Job State/etc. to notify you in any case.
Or you can check VBR global notifications in only for Warnings and Errors and set Veeam One notifications for desired types of jobs to send you notification in a case of success as well.
Not that elegant solution, but it will work.
Discussed improvement is still to be implemented in next VBR releases though. Thanks!