Hello Mike,
The points are actually on a different low voltage "primary" circuit. The points should not be effected. The high voltage to the spark plugs on the non-transistorised cars comes from the high voltage terminal (center) of the coil. The high voltage current flows through the coil wire and any rssistor ends on this wire, through the distributor cap, through the rotor and it's internal resistor, back through the distributor cap, through the spark plug wire ends at the distributor with it's resistor, through the spark plug wire, through the spark plug connector and it's resistor, into the spark plug (hopefully non-resistor) and finally the spark!
Any weak link along the way adds resistance. With the metal shielded spark plug wire ends you start off with 5,000 ohms resistance, you have a resistance built in the rotor (5,000 ohms), and you also have resistance built in some of the wire ends at the distributor in most cases (1,000 ohms). Now if you have the wrong spark plug connectors, or carbon spark plug wire, resistor spark plugs (5,000 ohms),or any other weak failing resistor in the system you have too much resistance and the spark intesity will suffer or fail completely.
Say you have the original early (non-transistorized) ignition system. You should start to be concerned when the total resistance in a single spark plug circuit exceeds 13,000 ohms total from the coil through the spark plug. So we can compute; coil wire ends (two) 2,000 ohms, rotor 5,000 ohms, distributor end of plug wire 1,000 ohms, and the wrong spark plug connector 5,000 ohms, then you add some resitor spark plugs at another 5,000 ohms!! You now have a total 18,000 ohms with all new parts, and are over specs to start with! The resistance in many of the parts will increase with age also. The electricity will follow the path of least resistance. So when the resistance becomes to high the spark will simply jump out of the circuit (arcing) or not make it at all causing a miss.
Joe Alexander
Blacklick, Ohio