Automatic resumption of interrupted file-based backup? If you're performing a file / folder backup using the legacy backup format (which is not going away), the only real full backup is the initial one and that backup can be continued as needed to complete. The "full" as I'm referring to it here is not a a logically linked set of files, but simply a backup of each file. That's why continuing the backup is easy - the product just detects which files have not been backed up yet and backs them up. Subsequent backups, whether they are incremental or full are only backing up changed files. We never back up all files again. Any backups run after the initial full generally run much faster since the breadth of files that are changed is normally low compared to the initial set of files backed up. These subsequent backups also can be continued the next day.
For image backups, however, it's best to have the machine running until completion.
I'm not trying to convince you we are the best solution for you. Just trying to clarify how we work.
If you're using the new backup format, then as I understand it, there may be a bit more work involved to create the synthetic full - compared to the legacy format. I've asked the team for some guidance if my understanding is correct and what customers should expect on duration. But what I would say is that you can use the legacy format and schedule as needed, even multiple times a day since only changed files get backed up, and only the changes within files if you use the block-level option, as that would not be an issue for machines that are not running at all times.
I'll reply back with details on new backup format full backups once I get an answer on those details.