Sadly I never tried those modes, so I don’t have an answer for you. I only played through the main campaign, and enjoyed that.
By coincidence, the game I often compare Ryse to, Jet Set Radio Future, is something I fired up again this weekend on the original Xbox. Gosh, that game is so awesome. And the original Xbox controller, OMG you guys, I like it so much better than the 360 and XB1 controllers! It just feels so much better in your hand, the way it fills your hand. And the way it feels so comfortable. And the thumbsticks are so solid the feel is better than both the modern controllers.
To be fair though, the thumbstick are not also buttons like they are on 360 and XB1, so they can be designed differently.