A full debriefing takes time. In a stress filled situation everyone has a different idea of what happened. Just ask your colleagues to list what order people came to work this morning and you'll see 'just say what happened' can't be done.
The USA condemns other nations for displaying dead american servicemen; how could it then display OBLs?
And it would dispel no conspiracy theories. Only last week we were told the production of a long form of birth certificate would settle the birther issue; as soon as it was produced it was sudddenly worthless.
Besides if OBL was alive there'd be a video of him reading last nights news items out by now. You think Al Qaeda wouldn't take a chance to totally discredit the USA?