I'm sorry to sound so harsh, but you're wrong and you're unintentionally spreading a falsehood. Just a pet peeve of mine - nothing personal.
The second flag-raising wasn't staged, choreographed, or tried several times. The famous Rosenthal photograph was a spontaneous shot of the raising of a replacement flag, which was put up because the first one wasn't large enough to satisfy the brass. Nothing staged about it.
The reason people think it was staged was because Rosenthal answered a "Was it posed?" question in the affirmative, believing that the person asking the question was referring to a totally different shot which WAS posed (a group of Marines all posing together, facing the camera, raising their rifles).
That's how the rumor got started. I'd just like to see it end, is all.
What difference does it make?