'Move to book' populates the menu_links table but not the book table.

We have a book that we want to use as the basis for a new book. The easiest way to do this is to clone the book (using the node_clone module) and edit it.

So, we clone the top-level page and child pages, remove them from the old book, and move them into a new book.

However, when we use VBO to do this, the menu system is updated but the book outline is not.

Animated GIF of the bug: http://i.imgur.com/DNKNCrQ.gif

How to reproduce:

1. In the admin view, select the top-level page and the child pages of a book.
2. Select the VBO operation 'Clone item'
3. Select the newly cloned nodes.
4. Select the VBO operation 'Remove from book'
5. In the 'Outline' tab of the new top-level page, set it as a new book.
6. In the admin view, select the cloned child pages.
7. Select the VBO operation 'Move to book', then select the new book.

Expected result:

The outline of the new book is updated with the new child pages, and the book navigation block (driven by the menu system) is also updated.

Actual result:

The outline is not updated but the navigation block is. The menu_links DB table is updated, but the books DB table is not.