I promised you that if you ask, I would provide the authority source of my view on AP/EAD/H-1/L-1 issue. It seems that you are very confident on youself. Well, I give you the quote I read and you can consult any COMPETENT lawyer about this (actually, Jerry Zhang's Q/A has a lot of mistakes).
"What happens if the H-1B or L-1 nonimmigrant, or the H-4 or L-2 family member, nevertheless obtains advance parole before departure and is paroled into the United States on return; is that individual then precluded from being treated as a nonimmigrant; and if she lacks an EAD will the Service treat her employment thereafter as unauthorized? After an initial administrative hiccup, the Service has taken the following position in a field memorandum pending a final rule: An individual who had the option of being admitted in H-1B or L-1 status may still continue to hold her nonimmigrant status even if she chose to be paroled (assuming she had not violated status), and she may seek an extension of that status, provided her nonimmigrant petition is still valid. To take advantage of the INS interpretation, the H-1B or L-1 worker would have to be returning to the employment authorized by the underlying petition. To work at another job she would have to rely on an open-market EAD." (Immigration Law and Procedure, Charles Gordon, Stanley Mailman and Stephen Yale-Loehr, 2007; the quoted paragraph is in the section "adjustment of status to permanent status")