Tricky question
This is my own opinion, and I am not pretending to know all the details.
EAD doesn\'t confer any immigration status, so just by having it doesn\'t mean you can stay in the US.
Advanced parole can be used to stay while waiting for the adjudication. I don\'t think it applies to being out of job, but is meant to be used in conjunction with EAD and a job.
Now, AC21 seem to apply to people changing jobs while waiting for adjudication, but not to people who is out of job. The way the law is now seems to indicate that out of job is out of luck unless you find a new job quickly.
It seems that INS is mostly looking the other way, so people are having the chance of looking for other jobs.
The main question is when you get an RFE related to your work situation and you don\'t have such.
I am not suggesting anyone to do anything against the law, just writing about the experiences other people have shared with this board and some media articles. Please check with a good immigration lawyer.
My 2 cents