Not quite -- I doubt any state in the union would knowingly destroy an original birth record, no matter what the circumstances.
Georgia certainly doesn't.
(TITLE 31. HEALTH CHAPTER 10. VITAL RECORDS)
(f) When a new certificate of birth is established by the state registrar, the original birth certificate shall not be subject to inspection except as provided in this Code section. All copies of the original certificate of birth in the custody of any other custodian of vital records in this state shall be sealed from inspection and forwarded to the state registrar, as the state registrar shall direct.
(g) The new certificate shall be substituted for the original certificate of birth in the files and the original certificate of birth and the evidence of adoption, legitimation, or paternity determination shall not be subject to inspection except upon order of a court of competent jurisdiction or as provided by statute.
Per the Judge in our case, he ordered the original destroyed; not a new one substituted and the old one archived.
Whether it actually happened, I don’t know.