Most of the customer service agents have little to no experience with firearms outside of what the scope of their job is at Hawaiian. Most times they don’t even look inside my bag, just ask me if it’s locked and unloaded. I fly weekly on Hawaiian and check firearms every time. I always travel with ammo in original packaging (box) or a plastic ammo box from Cabelas and I keep that in the same locked case that my firearm is in. I used to just leave it in the mags before I saw their updated policy recently but even before then I’ve never had an issue flying out of HNL.
Honestly, the agents barely look inside your case and rarely even ask me to open the case to verify the contents and whether the firearm is unloaded. As long as you sign the Firearms Declaration Tag and are within TSA Standards for traveling with a firearm they really won’t give you any hassle.
The ONLY place that I’ve has an issue with ammo being in the same case/suitcase is at JFK where the NY Port Authority requires you to keep ammo in a separate suitcase from your firearm and a Port Authority officer actually comes to the counter and physically checks everything before you lock it
The AFT Bag Tag is required on Hawaiian now because of their new Airbus 321NEO aircraft. The forward cargo area can get pretty hot and they don’t want any ammo to go off.