I noticed the same thing when I was looking at lights, it appears manufactures have different definitions for fog, driving and auxiliary lights. It got so frustrating for me, if I saw lights on a truck I liked I would wait by the truck and ask the owner to fire up their lights and view for myself.
I would assume smaller diameter lights (under 3 inches) would be wide short distance beam, large diameter (5+ inch) would be long range beam or pencil beam type, this is just my opinion.
I am looking for amber fog lights to mount below the headlights for fowl weather and see ones with clear lenses listed as fog lights. Wouldn't a clear white light worsen foul weather conditions?
Keep us posted, if I can get a pic, I will upload my lights patterns and distance from vehicle they can still reflect light off a standard bicycle reflector.