The extended model attempts to extract the contribution from each energy source; there are some words to explain some of that in the science section of the gc website.
Where the 2p model does not take into account why we fatigue the extended model attempts to. It looks at performance sustained over much longer durations to account for that. If your data does not contain sufficiently maximal efforts in the extended aerobic range then 1hr power will be reduced -- you can change the parameter intervals to suit the way you test and train to account for this.
The approach you take (~2 and ~20 TTE and 2p model) is what we always recommend for establishing CP
Mark