I know I am probably not near as smart as you but there are a few things that seem probable to me.
This fellow Onaka seems to have said that, yes, we have a file. And he said certain info in their file matches what is in the WH PDF. And it just might. And that file may only contain what grandma provided along with an affidavit swearing the info was true, whether it is or not. Just as the newspaper notifications contained info grandma provided, true or not (almost certainly not). And that may be the “vital record”. And it may be false as hell. But it is their record.
Onaka also went to great length NOT to say the PDF was an official legal document provided by the State of Hawaii, because it probably isn't. But Hawaii probably has many false “vital records” and they would rather not go there.
So they did a little song, a little dance, a little seltzer down your pants and hoped it would just go away. And tried real hard not to make any sworn false statements as they did so.
We know (if you can believe anything Barry ever said) Barry was adopted and his name changed, and that never came up in any of this.
So Onaka did say certain thing in the PDF match their record, not including the date of birth. He did not say what doesn't match, or even that the PDF is a real document.
BDZ
There was this in the response:
5. Name of Hospital: Kapiolani Maternity & Gynecological Hospital
So far as I know Kapiolani has never claimed this to be true, and sure has never bragged that the first POTUS from Hawaii was born in their facility.
I have read that they have no such record and really don't want to discuss it.
I will stipulate that that could very well be the case. As an aside, we have established that Obama does not have a Certificate of Hawaiian Birth. Hawaii released a list of those and the names Obama, Soetoro, and Dunham were not on it. (Post & Email has it, I think.)
I tend to think that if Grandma supplied Kapiolani as the place of birth that the registrar would not have accepted and filed the BC without verification directly from the hospital and/or the delivering physician, but who really knows? We can only speculate. Hawaii has probably committed much fraud with respect to birth certificates because more citizens equates to more federal dollars. I don't believe Hawaii is innocent in all of this.