I don't see why. Nobody is contending that Obama, Sr. was an American citizen. It is perfectly well known he was Kenyan and/or British. And I'm not sure a BC specifically lists citizenship of the parents.
In fact, I'm unsure what might be on the BC that could hurt Obama's case. I suppose in theory it could indicate he was born outside the country, but I find that very unlikely. I really don't see a logical reason why it's being kept secret.
In fact, I'm unsure what might be on the BC that could hurt Obama's case.
There are a number of details that might be embarrassing. It might, for example, indicate that his father is someone other than Barack Obama, Sr. (Frank Marshall Davis?) Obama may not even have been aware of it, until after he had run for office. Parents have lied to their kids about these sorts of things, before.
It doesn't, but it does include their birthplaces. Since BHO Sr was born in northwestern Kenya, he was not a citien at birth, so unless a naturalization certificate or record could be found for him, he was never a citizen. AFAIK, no one has indicated that he was naturalized so.. he very likley was not a citizen.
The other thing the BC provides, as would a real paper CoLB with raised seal and stamped signature, is proof of who his father was, legal proof, not the hearsay we have now.