Hello there @imogenc, I hope you're having a good start to your week!
At the moment, only the person who set up the file request would receive email notifications for uploads via the file request links.
However, I understand how this would be a useful feature for you. I could suggest sharing your request for this feature in our dedicated area of the Community here.
As a potential workaround, if the other members of your organisation are using the desktop app, perhaps enabling desktop notifications will help.
Sorry that I can't be of much more help with this, but please let me know if you have any questions!