Actually, the law doesn't apply only to those in 1982 or later. The law is a little confusing because it is written in compound sentences. If you break it down into its parts ( as I have done in the bold type ) it becomes more clear :
Certificates for children born out of State. (a) Upon application of an adult or the legal parents of a minor child, the director of health shall issue a birth certificate for such adult or minor, provided that proof has been submitted to the director of health that the legal parents of such individual while living without the Territory or State of Hawaii had declared the Territory or State of Hawaii as their legal residence for at least one year immediately preceding the birth or adoption of such child.
As can be seen, someone today - who was born in 1964 or earlier - can go in and apply for a COLB as long as they can prove the residency requirement of the parent. An adult in 1982 would have been anyone born in 1964 or earlier. Therefore, it clearly doesn't apply to those born only after 1982.
Correction - Well actually someone today who is 18 or older can apply. The 1964 applied to the year 1982 when the law was written.