When I first entered the safety profession I heard other safety guys talking about the hazards of slips, trips and falls, or falls from working at height, or unguarded moving machinery. Everyone had a pet safety hazard and solution. Boy was I surprised to learn the number one cause of workplace death and injury was auto accidents (includes trucks). Driver safety. Wow.
Not one safety person ever mentioned workplace injury/death due to driving. Yet, driving related incidents according to OSHA, is the number one task resulting in injury/death. 40 % of the work place deaths in 2018 were related to transportation. (https://www.osha.gov/SLTC/motorvehiclesafety/)
I think there are a couple of reasons for this. First, driving a car/truck puts the driver in a work place (the road) occupied and used by many others. Others who may be distracted, not paying attention, speeding, etc. The road place conditions and other driver behaviors are not subject to the employers control.
What can an employer do to protect his/her employees while driving on public roads? Simple. Take some time to arrange or conduct driver safety training. Takes about 20 minutes or so 2 or 4 times a year. Topics: Pay attention to the road. No cell phone use while driving. Pay attention to traffic in front, sides and rear. Always keep your eyes moving from front, to the sides, to the rear, back to the front. Pay attention to what is happening 20 feet in front of you and then 1,000 feet in front of you. Obey the posted speed limit and use turn indicators. Before operating the vehicle check that all lights work (head lights, break lights, turn indicators, etc.) Tires must be in good condition. Drive according to road conditions (weather, snow, rain, road construction, etc.)
Below is an OSHA website that lays out sound driver safety practices. Be safe out there.