Yes, the copies I was talking about were the separate files, they are backups of the original which get updated around the same time as the original.

Basically, if your family was in slot 1, the original is Virtual Families1.ldw and the copy would be Virtual Families21.ldw
Like I said, it'll calculate how long you were gone and update it according to that time

Only way avoiding this is having your own folder with the files to keep backed up in case something goes wrong like this. I don't think your personal backup copy needs to be paused, you'd just lose the progress that was made since the time you made your own backup.