What is neuromuscular endurance in the world of bicycling?
I think that you've misunderstood the concept a little. There is no neuromuscular endurance power range quite like the aerobic or anaerobic power zones. There are however neuromuscular adaptations which will affect your endurance and cycling performance. 

The nerve connections to muscles are how your brain controls them. Through training, you're able to create more nerve connections to a muscle, which will also have faster firing. This allows better activation of your body's muscle fibres. The end result of this is better pedalling efficiency and better peak power. 

The best way to train for these adaptations is through strength training. When training high weight low reps, your muscle is forced to recruit far more muscle fibres than it ever needs to when cycling. Even a maximal sprint effort doesn't come close to the torque requires for heavy deadlifts or leg press. To meet these requirements, your body makes these neuromuscular adaptations which in turn are beneficial to cycling performance, which is where the endurance relationship comes into the equation. 

This article discusses the concept.