It doesn't make much sense. If they can't see on Amethyst, they will see in other applications and will be angry no matter what or when they see it. I don't think this is a matter of being notified or not.
The notification on amethyst allows them to respond to the Report event in case they don't agree with the assessment and have a discussion with the reporter. Bots won't be able to reply, but if the bot is receiving too many complaints I would assume the bot is not doing a good job labeling things.
You can always not include the p-tag on the event and just report the e-tag. That will not show up as a notification.