Yep, that's how I read it, too, and had already decided that part of the help file must have been incorrect.
In your case, all that is necessary is to satisfy yourself the files concerned have been restored (by either testing the program/s they relate to, or viewing it in the original location, or simply trusting it's been done) before deleting them from the chest.
(It is probably safe to simply trust it's been done, but I'd take a look in the original location, myself. PITA, I know. Up to you.)