Our entire training philosophy is based on improving the aerobic capacity so that you can sustain a higher work output (move faster) for longer. Follow the precepts laid out in our books and in the 24 week training plan that aim to elevate your aerobic threshold speed. You can continue to improve this year after year with consistent training of this style.
It sounds to me like you had good success with following this plan. Keep doing that. Since you live a sea level and do not have regular access to mountains you will never move as fast as a guide who spends ever day climbing at altitude. The reason your guide is hurrying you is that speed is safety in the mountains. Stopping to enjoy the view is not as important for him or you as getting you up and down safely.
There is no magic or short cut to getting faster. We try very hard to dispel that myth in all out writings. It just takes time and lots of training hours.