I noticed this behavior on the site after uploading some files while I had a pending unread message. The notification is displayed multiple times above the Preview & File(s) sections. Image attached:
Looks like you have 1 new message. :)
Yep, that's an artifact of the drupal framework. It is prompted for new notifications each time the browser sends a query to the server. When uploading stuff, the browser is sending multiple queries per minute for file upload progress.
It doesn't do any damage or have any negative consequences besides an annoying wall of notifications. It's unlikely to be fixed soon, though. :/
--Medicine Storm
p0ss was talking about the Drupal framework being outdated. But that updating would likely be a huge task & it would probably make more sense just to re-write the website from scratch..... err, something like that (don't mean to misquote p0ss).