In that warpriest statblock that's been floating around, there's one damage ability (comparable to and used alongside the melee attack) and one healing ability that hew to this new not-a-spell format. In addition to those, though, there's a spell list which contains flamestrike and hold person, among others.
So I'm wondering if the designers caught this issue in the time since Witchlight was published printed? Perhaps they've implemented a "compromise" for the upcoming monster book, where that "compromise" is (in this case) to make the warpriest easy to run from the statblock as a mostly "magical martial" NPC for DMs who want/need that, while also providing a handful of beefier combat (and healing) spells for GMs who want more options (either to use in an encounter, or as a reference for customization)?