While you are right that series increases the voltage, not mAh capacity, if the light is regulated to keep the same brightness, regardles of voltage, runtime should be longer. This is the case with the Eagletac extenders. mAh is the same, but Wh increases, whether the cells are parallel or series.*snip*
Those extenders put more cells in series which increases voltage and not capacity. To gain an increase in runtime the cells must be in parallel.