I've looked into every "AddressBook" folder under every "ApplicationSupport" folder on the computer...they are all empty.
The only difference between what I'm seeing and what your image shows, is that I don't have a "Library" folder in my folder. I'll go to Mac UH- Users- *my folder*- ...there is no library folder.
To get to your user Library folder.
While pressing and holding the OPTION key, click on GO. You will see the user Library folder under your Home folder in the left pane. Click it to open it.
Click on GO then GO To Folder. Type in ~/Library and you will be navigated to your user Library folder.
Or...To unhide the folder and keep it unhidden
Open Terminal under Applications/Utilities
Type chflags nohidden ~/Library/