You both are assuming that the American people would make the jump to that conclusion.
Seeing that the FOX/Drudge/Limbaugh/Hannity axis pumped this story endlessly leading into the election, clearly they did not.
So in that scenario the White House went into a cover-up mode to prevent a scandal they completely misjudged would result, or: this was a politically-motivated "scandal" created by outrage pimps who never seemed to have a problem with not only AQ running loose but OBL himself... when somebody else was president.
Seriously tough choice there...