The symptoms do sound like a fuel restriction problem of some kind (or tank vent plugged, like someone said above).
Points: they are uber-reliable. They do require a little maintenance now and then, but one set can last for 40,000 miles if you take care of them (mine did!). Add a Transistor Ignition to them, and they may go even longer than that.
Most people who don't like points also don't know how to use them, IHMO...
The coils: if you have the OEM coils for a K6, the primary side will be 4.4 to 4.5 ohms. If they happened to receive a set of F0 coils (as some bikes then did), they will be 4.3 to 4.5 ohms instead. If they are more than that, they are having issues...
If the coils are NOT Honda's own, it might be a little harder to define the ohms value of the primary side (and if they are less than 3.0 ohms, they won't work with these bikes). Last summer I 'repaired' a 750 that had received 2.5 ohm (CDI system) coils from a website that sold them as "CB750 coils, fits all models", because they had 100mm center-to-center mounting holes. This burned the bullet connectors and kept his battery low all the time: he had to put it on a battery charger every night, just to ride it to work and back.