You should. And you do too. Otherwise, you would’ve never looked both ways before crossing the street, and you would already be dead.
Your example seems to miss the point.
Of course I look both ways but I still cross the street.
I've watched people (friends included) who have let fear so overcome them that they frankly miss out on life. Won't travel, nervous about even leaving their home…
Do you feel that road safety dictates your life?