Also best to swap the low tension wires on the coil. Doesn't make a big difference, but might as well keep the right spark polarity.
Any added electronics (like electronic ignition or a radio) will need attention (or even replacement) as well.
My guess would be that the control box was set just a little bit "hot", which allowed the generator to try to keep up with the headlights and radiator fan. One of the conundrums of auto generators is that they will easily put out enough current to overheat themselves, if not limited by the regulator. They can't "boil over", but the overheating will ruin the winding insulation and melt the solder on the commutator, leading to the dread red light. I went through that dance many times "back when" before I learned that protecting the generator is more important than keeping the battery charged.
Or, since the TR3 control box actually limits the sum of current and voltage (rather than either one by itself), it may be that just running with the system voltage way low (caused by the excess load) allowed the generator to put out too much current. I haven't experimented with that, but it seems like a real possibility given how the box works.