"The HFS wrapper partition is damaged. You should make backup copies of your files, erase the volume, and restore."
Most HFS Plus volumes, including those created by Drive Setup and the Finder's "Erase Disk..." menu item, are really a type of hybrid. They are a HFS volume with a "pure" HFS Plus volume occupying most of the space on the HFS volume. The HFS volume is "wrapped around" the real (embedded) HFS Plus volume. That's why it is called a HFS wrapper. The HFS wrapper is not a separate partition, and both the HFS wrapper and the "real" or "pure" HFS Plus volume inside it are in the same partition, assuming the disk actually uses partitions.
The HFS wrapper functions
In some cases, Disk First Aid 8.2 and later may report the following error message:
"The HFS wrapper partition is damaged. You should make backup copies of your files, erase the volume, and restore."
Disk First Aid can and does fix some kinds of damage to the HFS wrapper. Users should only see the above message if Disk First Aid could not fix the damage. If the error message appears everytime Disk First Aid is run on the volume, back up any important files, erase the volume and restore the software.
Although this type of damage is rare, the HFS wrapper can be damaged by having power removed from the computer when it is in use or after a crash when using incompatible software.