The birth records would not be submitted because they contradict the alleged LFBC.
As for known liar Obama, are you saying that if he swears he was born in HI, that makes it true? What if he’s willing to lie in court? Does that make his lie a fact?
Yes, in the absence of a witness who can dispute it, that's exactly what it means. The law permits you to competently testify as to your date and place of birth even though you can't really remember it.
It's a sound rule. If you want to dispute the facts of someone's birth, you should bring a witness with you.