The Cisco Directory Connector (DC) only manages Webex Teams. However, if your Webex conferencing piece is managed through the Cisco Webex Control Hub, then DC will work. If the Teams database and Webex conferencing databases are separate, then you cannot manage both through the DC.
We are in a similar situation where Teams is managed through control hub, and Webex is managed through an account with West. The databases for users do not co-mingle.