I read that same story and you recounted it correctly. I don't recall the story source, though.
The implication by Hackworth is that the Army has some terrible secrets to hide in the capture of the POWs and is desperate to hide them. That simply isn't plausible. Even if someone gave a bad order that caused it, it's hardly a scandal.
I think the far more likely explanation is that the Army has plenty (probably too many) psychologists advising them, and a very sheltered decompression for returned POWs is now required. As far as I know, nobody is being allowed access to these soldiers and all the stories we got were from embedded troops who accompanied their rescue.
Jessica Lynch is a special case because she's still a hospital patient, and hospitals won't say jack about patients.
She'll be a millionaire soon enough. Even if she can't remember a thing about the ordeal, she can sell the rights to Hollywood to make up whatever they want to sell to the public. But probably not until she's released from her military commitment.