and they’re still really unlikely
1 in 1000 is not really unlikely if it is in regards to your life ending.
However even taking your number it would lead to devastating pictures.
2 married people with 4 grandparents 1 aunt 3 friends and 3 kids means every year 22+-5 out of a small 1000 family neighbourhood will be affected by car deaths.
Assuming that a relevant time period is from the birth of a child till it is 30 and therefore might have had a child of their own, so 30 years we get that around 66%+-10% of families will be affected. Instead of only 1-3 families during that time.
You did not lift the veil of ignorance, you created a new veil of diffusion.
It would mean that two out of three families would lose a close person within a 30 year generation due to cars, instead of only a small percentage. This is the power of the 17 times!
The alternative of train rides would mean that within a generation virtually no family is affected by car deaths.
There is also the "unexpected" or "unknown" and social character of the internet.