This topic is important to us as well.
We cannot allow all users the ability “export” as it means they can export EVERYTHING.
Therefore, we have a few users who become tasked with exporting small data needed by individuals who do not have export permissions.
We would love to see export permission filters and limitations as too many objects you can export at 1 time or per month.
-Contacts / companies / deals
-Lists
-Reports
-Tickets
etc
Allowing users access to export ALL of the above is a security risk.