Yes you are correct, there are specific exemptions in the act but the President can only restrict information consistent with and persuant to these exemptions. I’m not sure a President’s personal history falls within any of these exemptions, but then I’m not sure this type of information is even obtainable under the FOIA in the first place.
for sure one thing the head cheese hasn’t planned for is when he leaves office to build his Presidential Library with tax dollars. Will he fudge his origins there,too? i’m sure he will you have to keep the deception going don’t ya?