0.) Use a vanilla bundle with the latest fix pack.
1.) In the Content --> Web Content section create a structure with an Image field. Create template to it as well.
2.) Upload an image to the Documents and Media.
3.) Create new web content with the structure and select the image uploaded in step 2 and publish it.
4.) Go to the Documents and Media and move the image to the Recycle bin.
5.) Go to the Web Content section and try to export the article.
Result: You will get a PortletDataException (full exception is attached to the LPS).
Workaround: By deleting or restoring the image the article will be exportable.