小白兔和射線等大俠, more question about "out-of-status"

First of all, thank you all for response to my previous post!

After 考古 in this board, I have more questions about "out-of-status".

According to a post in this board on USCIS regulation,

http://web.wenxuecity.com/BBSView.php?SubID=immigration&MsgID=197003

"If USCIS approves an E/S or C/S application,.... No unlawful presence accrues."

Does it mean I actually don't have the "out-of-status" problem, after I was reinstated? Actually, in my old I-20, the study date is from 9/2000 to 9/2003, while after receiving reinstatement on 4/2004, the new I-20 shows the study date as from 9/2000 to 9/2004. Is this a legal approval that I don't have any out-of-status problem from 9/2000 to 9/2004?

Thanks a lot!