A hard copy does in indeed prove birth in the US.
What part of "City, Town or Location of Birth: Honolulu" and "prima facie evidence of the fact or birth" do you not understand?
Are seriously asserting that the State of Hawaii deliberate lies on its officially certified documents?
“A hard copy does in indeed [sic] prove birth in the US.”
If you will get a consent to order one, I will pay for it.