You're misrepresenting what the document says. Re read it.
No, I am not. It requires proof of your ancestry, not just proof of your own Hawaiian birth. It doesn't even reject the COLB, it just says sending the other one will save you time and money.
The COLB is proof of Hawaiian birth. Nothing on that page says otherwise. They just have ancestry requirements for THAT program and need more.
If someone says that page shows that they reject the COLB as proof of Hawaiian birth they are wrong.