Guys,
So far I have done it 4 times. 1st I had called my Mother here in 1999 that time I sent copies of my H1b. Second time I called my Sister In Law in 2001 by then I was on EAD, so I sent copies of EAD / AP (though my H1b was valid). Then I called my parents, and later my sister in law this time again I used my EAD / AP (this time I had no H1b). In all of the above instances none of the applicants faced any problems with INS.
In essence it does not matter what do you send as a support document, the only point is that you should be residing legally in US. Also, I was told by my attorney that after you receive your EAD / AP you should not use H1b as EAD / AP represent your most current status (I may be wrong).
Thanks