Pakistan was certainly not inclined--on the basis of any US travel advisory, at least--to turn away an American that may have legitimate business, friends and/or relatives there.
Thus your logic is errant, even if he did use a British or Indonesian passport.
Remember there was a State Department contractor shot and killed. Shortly before that, a rumor circulated that no US passport had ever been issued to a 'Barack Obama' prior to the issuance of Barry's US Senate passport and that there are no court records of a name change to 'Barack Obama' or naturalization after his stint in Indonesia where.school records affirmed his Indonesian citizenship.
FR's American Expat (now in Indonesia) has noted several shenanigans with regard to Barry's records there, indicating an official claimed certain of Barry's records WERE EATEN!!!
HF
My logic about what? All I said is that there was no travel prohibition then. That's not an opinion that is a statement of fact.
Placemark...