On a single points distributor, the points operated by the distributor cam both close and open, thus triggering the high tension circuit of charging and firing the coil.
With points closed, current will pass through the primary winding of the coil, saturating as it builds a magnetic field. The longer the coil is allowed to charge, the hotter the spark will be. This is known as dwell time, or dwell angle, which is measured as the number of degrees of distributor cam rotation to keep the points closed.
The magnetic field in the coil will collapse when the points open again, and a high tension voltage is induced in the secondary windings of the coil.
dual points never operate simultaneously, as one set of points opens and closes earlier than the other. Because of his timing overlap, one set of points only ensures closing ("make"), while the other only ensures opening ("brake"). So, the second set of points closing helps extending effective dwell time especially at higher engine speeds, allowing the coil to saturate properly. That is the reason why dual point distributors were popular on high reving, high-performance engines back in the day.
other than the bragging factor, I see no advantage over a pertronix.
electronic triggering devices don´t need regular adjustment and offer best coil saturation at all RPM.