That will list all of a user's albums. You would have to delete them using inline moderation.
If the albums are deleted the album thumbnails will no longer be visible. The album thumbnails, by default, are created automatically by cycling through a random selection of images inside the album when you hover over it. It is possible on a per album basis to change the thumbnail, and upload your own. If they have done this you would have to go to each album, and click "Change Album Thumbnail".