Hi Jim,
I basically use my car as a daily driver in the summer, so i routinely am on the highway at 60-70 miles per hour. Those speeds are of course higher rpms, so at night (only) with my lights on, the gen light seems to be the brightest. Coming off the highway and stopping (such as to make a turn) the gen light is off. The car always starts, and both the generator and VR could be original for all I know (they're prolly decades old at least).
I have had the issue you mention of the gen light coming on once i turn the car off, but i sanded the VR contacts lightly and cleaned it. Since doing that, its only come on w car off once or twice and closing the hood always unsticks whatever is sticking
I'll check my belt, too.