If you tell people they can't drive so have to use public transport, you may not be reducing the number of deaths from fatigue.
Why?
Well to use the post above to illustrate a point.
An A and E doctor working shifts can't drive because they are too tired. So they get public transport to work. But it takes considerably longer to get too and from work. This adds an extra few hours to their working day.
This means they are more tired at work. And perform less well at work. Which means they make more errors which are potentially fatal.
These deaths are not necessarily measurable but may still be happening though it may be that fatigue in the work place may be measurable.
Or that you end up with night shifts even more understaffed as few people are able to work them so that results in deaths too.
Apply to workers using heavy/ dangerous equipment too. More deaths in the work place?
My point is that fatigue needs to be looked at in terms of causes not just a driving ban as you risk just shifting the problem or creating other social issues.
That's not the same as drinking or drugs whilst driving.