Recently I had a problem with Verse On-Premises and Connections Files integration. Integration with Connections Profiles was working fine, but uploading an attachment to a new mail and Files application or attaching a file directly from Files App was just not working. After a bit of troubleshooting I opened a PMR.
After a little while I got an information that Verse On-Premises and Connections Files integration is officially not supported. It will be supported in future, it just isn´t supported in the current release.
Shortly after that I managed to solve the problem with the help of Roberto Boccadoro. Check out his post about this issue.
The integration with Connections Files works, you just may not get help from the IBM Support if you run into a serious problem.
Thoughts about HCL Connections, Domino and Sametime 