Avoid deleting folder on Web Publish
Is this not just an issue of unchecking the box in the publish wizard (settings step) that says "Delete all existing files prior to publish"? I know that option is available when setting up publishing from the Visual Studio side - it seems to me the Azure publishing credentials just give you the connection, and not the settings which you make through the wizard.
Looking over the question you are linking to and the code you have supplied above, it seems that you need to change the line:
<AbsolutePath>ErrorLog</AbsolutePath>to
<AbsolutePath>media</AbsolutePath>as this refers to the folder you do not want to delete. ErrorLog was the folder the other question's author did not want to delete.