Of course! That's what the program is about.
"That is what the extra work and charges involved with the Certification are about; to fully corroborate that you actually were born in Hawaii (for starters)."
No, the short form proves birth in Hawaii, for the person it is for. But that's not enough for this program.
Again, that is not why additional work and research is required to corroborate the Certification of Live Birth. Extra work and verification (as well as money) are required to establish that you actually were born in Hawaii.