I have successfully exported a CSV file of my form’s entries when I have been logged into WordPress as the site administrator.
I then set permissions so that any WordPress Contributor could export entries and view the Quform dashboard. However, when I tested this by loggin out as admin, logging in as a Contributor and clicking on the “export” button, I got an error message saying “Sorry, you are not allowed to access this page.”
I also tried this setting up as an Editor.
I also tried giving Editor and Contributor full access.