Looks like Hawaiian completely overhauled its mobile app (FINALLY!). See:
https://www.hawaiianairlines.com/app
First impressions... Let's face it, anything would be better than the original version that was simply a mobile website in an app. Still, it does not appear that you can book tickets natively in the app (it redirects you to the mobile website). You also cannot see any account details like miles/Pualani qualification status. Looks like the app really addresses mobile boarding passes. But nice videos of Hawaii that I think are themed to the time of day.