I won't lie, Doom becoming a story driven action platformer is a rather surprising development.
2016 had more story than people act like. It definitely had less story than the average FPS nowadays, and had that iconic moment where he kind of told the story to fuck off, but there's still quite a few cutscenes and a loooooot of dialog in it. Given the released video is touting the story, I don't think it means there will be more of it really. I'd guess they shot for the same average? We'll see.
The platforming/air stuff... I'll reserve judgment. I maintain that in these long franchises you have to shake things up, not just be the same games over and over again. If they manage to make Doom 2016 combat feel fluid in the air with some non-frustrating platforming, it could be really cool. Bioshock Infinite's best moments were when you used the rails and airtime for interesting combat moments.