I’m thinking W’ based off of 4DP values would be a tad lower than W’ based off of CP, assuming of course that you are doing maximal efforts at each duration within the last 90 days. NM and MAP should be close, but a fatigued 20 minute 4DP would not match CP20, and likely would not match CP60 (although it might be close). And the same could be said for AC != CP1min.
I do think there are too many assumptions being made in many of these models for them to accurately determine future performance. There was a discussion on the forum about WKO which Sir Neal Henderson chimed in on, where he elaborated on the limitations of power duration modeling for this purpose. Bearing in mind that his job often entails this very need, predicting an athlete’s performance on an hour record attempt for example.