Sure, this is true if you're driving in a NASCAR 500 race. Most of the driving people in the US do is simple stop and go, medium speed driving or the mindless cruising of interstate highways where sharp reflexes are by design unneeded. The only real danger tired drivers pose on the interstate highway is falling asleep.
Another problem invented by the fevered, utopian mind of a cloistered do-gooder politician. It won't end until we're all tied to our beds at home, force-fed measured amounts of organic vegetables, with an armed guard outside our door to keep the bad guys out and us in. Then we'll all be perfectly safe. Kind of like the scenario in "I, Robot".
Don't forget the govt.-mandated calisthenics.