That’s good to hear, since painting the bathroom’s is my next home project. And yes, I expect to use two coats, since Aura is designed as a “two-coat system.”
I’ve seen professional painters do both. And perhaps it depends on how well one of the paints does with touch ups. Ben Moore flat paint for example is generally very accommodating with touch ups, i.e., they blend right in, and are not noticeable. Thus, it would be easy to paint walls first and then the trim, and touch up any wall as needed.