Since the Grim Reaper is, I'm certain, quite busy already collecting the souls of the actually dead, I doubt if he'd have time to deal with drivers who are only acting like they have a date with him. And as for those who are racing to meet him anyhow, I'm not sure why he'd bother to show up early.
The man is busier than Santa Claus, for crying out loud. Why increase his workload?
That said, I feel that Mr. Reaper _should_ make his presence felt whenever there is an automobile accident. This could be accomplished by stitching an air bag in such a way that, when it inflates, it takes on the visage of Death, complete with a black hood on top, and a skeletal hand poking out of the steering wheel, clutching a sickle. Alternatively, in vehicles with side air bags, they can be modified to include skeletal arms which embrace the unfortunate driver.
I can just imagine it now. The brakes, the collision, the inflation, and the martial-arts-type scream of someone trying to drive an eight inch log through their shorts.
SCREEEEEEEEECH! CRUNCH! BOOM! "Aaaaaargh!"
(BTW--Credits: Big thanks to [blissmiss] for the inspiration. I meant to say this the first time, really.)