Controling the level of hours worked in the multiplicative formulation of KPR
Continuing on my comment, if both parameters are set strictly higher than unity, then we can get all the range, indicatively:


This is why I asked how important for the work at hand is to constrain them in the $(0,1)$ interval instead. 

This won't be the first time when a mathematical functional form has some inherent restrictions that do not allow it to reflect the whole spectrum of possible human behavior.