Final answer:
The statement is false because managed backup solutions like Continuity247 usually cover the troubleshooting of backup failures as a part of their services.
Step-by-step explanation:
The statement that fully-managed packages available with Continuity247 do NOT include troubleshooting of backup failures is false. Managed backup solutions such as Continuity247 typically offer end-to-end management, which generally includes troubleshooting any issues that arise with the backup process. This service is essential to ensure that data protection strategies are effective and that any problems are rapidly addressed to maintain the integrity and availability of data.