I don't know where you are getting your information from, but it's completely wrong. If you read the Hawaii Vital Statistics regualtions, in the pdf I linked to above, you'll see that the phrase "long form" and "short form" aren't categories of birth registration.
Instead, you will find all birth registrations fall into three categories: standard, late, and delayed. The only thing that distinguishes a standard registration and a late registration is the timing of a filing.
A standard birth registration is filed within 30 days of birth, though the law instructs filing within 7 days. There appears to be a grace period. A late registration is filed between 30 days and one year after birth.
A standard registration includes a signature of a licensed medical professional when such a professional was attending the birth. In cases where no such professional was attending the birth, it has the signature of whoever whitnessed said birth. A late registration also includes a physicians signature if it was attended by a physician.
Again, it's all there in the regulations I linked to above.
I see nothing in the regulations to indicate that a standard birth registration not attended by a physician or other medical professional has any less validity or is any less a "long form" than one attended by a physician, provided it was filed in a timely manner (i.e. within seven days of birth).
A late Registration was frequently used to commit citizenship fraud because of just how easy it was to do.
I doubt it. Got any evidence for that claim?