Some tasks are resumable - meaning if they are cancelled or interrupted, some of the work that was done is still valuable, and restarting the task may allow finishing the work of the original task.
An example of resumable tasks would be Import and Export repository related tasks.
The Export databases task will force stop some running tasks as it is considered to have high priority to run. Restarting any tasks interrupted by it is not automatic.
Limited Scope: Identify which tasks are safely resumable. Provide a means to automatically restart these when interrupted by the Export Database task.