Alt-tab does not work well, e.g. with LibreOffice

Steps to reproduce:
* Open libreoffice writer, make it full screen
* Create a new document, write A in it, save it as "A"
* Create a new document, write B in it, add a table into it, enter the table, save it as "B"
* (You will notice a new window with table tools)
* Press Alt-tab, and choose the other document

What happens:
* The "table tools" window vanishes
* The title bar shows me that the document "A" is in focus
* The content of the window is the content of document "B"
* When I enter text, it gets inserted into document "A", while I still see the (unchanging) document "B"

What should happen:
* Content of window "A" should be shown after Alt-tab

I assume this is a problem that has to do with the small "table tools" window. This is hidden, as it should be, but the "B" document window is not. And it probably happens with other programs that open this kind of helper windows.

Anyone else seeing the same effect? Or is it a problem with my setup?

I'm using the "static application switcher" from Compiz.