In the end I think the same limitations apply in that there's currently no possibility to delete conversations created by others than yourself. Whether "others" are actual users or connectors in this case...
Best Response confirmed by
Fuji Ogawa (Occasional Contributor)
@Fuji OgawaI understand the limitation on deleting cards / conversations generated by others, but could a card created by a webhook, be deleted by a webhook? Example, my monitoring application posts a card to teams so we all have visibility to the error (think Trello). When the issue is cleared (trello card complete / deleted) I would like to delete the associated card in teams. Without this capability I see the teams conversation lists growing unmanageable real quick.