ok upon looking at PHP-Nuke a little more _HOMEPROBLEM appears when you do not have the homepage module set.
the _ADDAHOME just takes you to the Homepage Config Screen in PHP-Nukes Admin section.
Only the Admin's can do this, regular visitors, just get a message like "There is not homepage set." - which goes where the _HOMEPROBLEM variable sits.
Looking at Noerd's reply, I hope I am understanding your question correctly and if NOT, I appologise!
Regards,
Charlie