Right! The two sets of points aren't positioned 180 degrees apart; they don't open at the same time. So if you wire the two sets in parallel, you will get too much dwell for a given point gap. If you narrow the gap to achieve the correct dwell, only one set would be open at the beginning and end of the coil discharge.
Back in the 50's Mallory and other companies made dual point distributors that were considered speed equipment. But 70 years later that technology has been superseded by electronic ignition such as Pertronix or MSD. If a Pertronix is beyond Alfa Tasteless' budget, a well-tuned single point system is probably the best approach.