Interesting points. What if O’s mother registered him in Hawaii within a year of his birth, regardless of where he was born? Would his COLB appear different? Did O’s cmapaign ever “officially” endorse the BC that was shown on the Dem. website?
No. Obama's original long form birth certificate will indicate the basic (and factual) information of his birth, no matter where it occurred.
At the time of Obama's birth, the state of Hawaii allowed any person to register a live birth with their state recording agency. A legitimate COLB (certification of live birth) will show Obama's place, time, and date of birth, as shown on his original long form birth certificate.
What it won't show, is the name of the hospital, doctor's signature, attending physician, witness, parents' signatures, etc.
This is the sole reason that the forged birth certificates were created. Obama et al could not order a standard COLB from the state of Hawaii because the state would have issued a COLB showing that Obama was born in Kenya. At least that's the working assumption.
Did O’s campaign ever “officially” endorse the BC that was shown on the Dem. website?
I saw the image posted on Obama's official campaign website. If that's not an endorsement, I don't know what is.