|either they were sincere and thus there is no cover up|
I'm not following your argument. If they selectively heard the intelligence or selectively interpreted the intelligence subconsciously, then they were sincere. Wrong, but sincere.
The explanation they gave - "we got bad intelligence" IS the alleged coverup.
And if some of the intelligence they relied on turned out to be wrong, then they would blame the intelligence. It's better than acknowledging that subconsciously distorted their readings and judgments and that's what lead them astray. Or maybe they don't yet realize that that's what happened.
In any case, no matter how you screw up, bad intelligence is the perfect excuse because it implicates others. Whether or not they were sincere, bad intelligence is their best excuse. Even if you don't want to cover up, only distract, bad intelligence is your best claim.