Workaround:
Deactivate new version of URE Pro at the new site.
Copy older version of URE Pro via FTP to other folder of new site, like user-role-editor-pro-4.40.
Activate older version of URE Pro.
Fulfill roles import.
Deactivate older version of URE Pro. Delete it via FTP.
Activate back newer version of URE Pro.
You can make similar steps with newer version of URE Pro at old site. But you will need to export/import roles one by one. Newer versions of URE Pro (4.41+) do not support multiple roles export/import as a single operation.
It will be added with time.