I have to agree that, at least so far, the paper Cruise Compass is superior to the app. We were on Adventure a couple weeks ago and the app listings were not always correct, while the paper version was. For example, the app listed incorrect nighttime on-deck movie information, while the paper Cruise Compass was correct.
I expect that as time goes on the app will get better and the paper Cruise Compass will eventually go away. For those that don't have smartphones, the electronic version shows up on the stateroom TV and on the touchscreen maps by the stairways on each deck.