FWIW I think the Mombasa claim began as a political canard invented by Obama himself, to help overcome the "blackness deficit" identified in his ill-fated run against former Black Panther Bobby Rush. I think he kept up the "I was born in Africa" roorback from the 90's sometime, until 2006 when he decided to run for President, and someone realized the trap.
I think his real problem is in his passport use in his teens and 20's -- he may have been a foreign/dual citizen. If he had an Indonesian passport, then he was claiming Indonesian citizenship, because Indonesia disallows dual citizenship.
I agree on both points; it was a plea to show “he’s black enough”. And it would be a significant problem if he used another passport. However, my understanding of Indonesian law is that - if you are an adopted child, you have to claim the Indonesian citizenship at the age of 18 (there’s like a 6 month window) or you lose it. Much like with Canada and other nations.
If he didn’t claim it, then no passport, no problem. If he did claim it, then he automatically forsook his US citizenship.
Personally, I think the BC issue is a red herring put out to drive conspiracy theories. It’s done quite well at that! What’s a few million dollars to distract a portion of your political opponents, especially in a day and age where you’ll spend $400+ million on a campaign?