Always plan on it taking 90 mins, from gate to resort. It will most likely take less time than that, but better safe than sorry.
I've taken the DME to POP about 4 or 5 times. AKL has always been on that route. Only one time did the bus go to AKL first..most of the time, it was the third stop. BUT....routes are not etched in stone. You may very well have a very different experience.