Reporting -Private vault search- in all vault entries

Hi,
we have organized inheritance of credentials based on Folders containing entries from a single windows domain.
Whenever possible we get personal admin accounts for the domain and store personal credentials in each admin Private vault.
Then the folders are set to -Private vault search- with name of form Admin-Domain.

So far so good, works just fine ... but only for the admins aware of the search who have created the dozen of entries required.

Using RDM reports in administration, get-RDMSession and other PS cmdlets I attempted to export or report a list of Private vault search names.
With this, users could double-check easily the required entries.

Tried to duplicate the Pvs name into a Custom field, but those are not displayed for Folders in lists connections.

So, how can we possibly export/report the list of folders set to -Private vault search- with required entry name?

Thanks
Patrice