you are correct in your assumption...more or less. Lights can range from spot to flood and some can have patterns. Fog lights are short range broad area, Driving lights have a narrow flat pattern and cast light almost as far as a spot light. There are some lights (Tractor supply/Northern) that are inbetween, Trapazoid.
Headlights fall into the middle between Fog and Driving lights
"It is a damned poor mind indeed that can't think of at least two ways of spelling any word."
Proud owner of 2010 JK, 1994 XJ and an 81 CJ-7