A WCD system is configured to detect when a therapy administered to a patient by the WCD system is unsuccessful, and in response determine whether to send notifications to remote non-witness responders. The WCD system may be configured to decide to send such notifications after the WCD system determines it has administered a predetermined number of unsuccessful shocks to the patient. The predetermined number of unsuccessful shocks may be the maximum number of unsuccessful shocks the WCD system will administer to a patient, or every Xth shock (e.g., 3rd shock). The WCD system can be configured to periodically resend the notification. The notifications may be in form of SMS, voice messages, emails, app notifications, etc. sent to cell phones, smartphones, computers, laptops, tablets etc. of the responders either directly, via a server, or via a CAD-coupled server.