Nothing says that you cannot apply for AP

. If you read the instructions there is a part that people apparently by blindness

usually overlook that is call TRAVEL WARNING

and (Part III), they consider that you will remember how many days you overstay if that is your case. The AP is just attach to your I-485, it is true that can be deny or approved but how is denied or approved has nothing to do with your overstay is through your I-485 status. So if your I-485 documentation is wrong your AP won't go further...if your I-485 is fine until at the end your AP it's fine and you should be approved. That is why is normally the EAD is approved as well.
The people who received and manage part of the documentation are not immigration adjudicators officers, they are people like a, b and c.
So, if you have overstay you can have an AP but before apply for it you should be sure that if you overstay more than 180 days and you get out you will trigger the ban. Your overstay is ONLY forgiven for the matters to be able to apply for a benefit (I-485, etc) your overstay for the matters of re-enter the US is not forgiven until you obtain your US permanent resident.
Hey I am not putting salt in anyone

...so do not take as an attack

, is just to clarify. Many people get confuse about these issues all the time. I was even confuse at the beginning because for me would be easy is just to deny the person the AP and that's it. But in their system there is not count of :
date of I-485receipt - I-94expiration date = 190 days XXX= denied message.
They do not have that, it is suppose that you are the one who make that decision for yourself.
http://www.uscis.gov/graphics/services/Emergency/index.htm#Advanced