Because that’s not the same type of scenario. The search was for “ Criterion: Barack Obama STATE = IL Search Results: Name: BARACK H OBAMA” (from the main leter, pg 9). [Following post]. So, they did a search for “Barack Obama” and this information was found, not via a search for someone else Obama.
Also it’s a Barack who is married to a Michelle.
That might be OK for the Immigration thing, but the Roman Obama in Moscow still seems like a red herring.
My guess is that the DOB and the Guinea bit could just be errors by the bureaucrats. Wouldn’t be the first time.