Hi Gary.
I noticed the same thing but AA's own website (pasted below) says that they are approved but agree your official link does not list them so not sure who is correct. I am going to call AA to see if I can get some clarification.
We recommend using one of our testing partners to be exempt from the 14-day quarantine. You can also use other test methods, but only results from testing partners approved by the Hawaii department of health will be accepted.
Testing must be completed within 72 hours of the final leg of your trip. You’ll show your results from at-home or in-person testing to Hawaiian officials.
Testing availability
LetsGetChecked
Dallas-Fort Worth (DFW)
Onsite airport rapid testing
Dallas-Fort Worth (DFW)
CareNow clinics
Dallas-Fort Worth (DFW)