I view these red octagons as completely redundant placards designed to line the pockets of signage companies.
It would be blatantly obvious that you need to "stop" when a car is speeding in your direction from your right/left.
In fact, it's quite an insult to my intelligence. Are Americans this stupid and/or robotic?
For what it's worth, I absolutely blow through stop signs when there are no cars.
As in, don't even bother tapping my brakes. I don't go through a dance for the sake of dancing.
Before you argue nonsensically, use this as food for thought:
The city of Paris has NO stop signs. None. And accident rates are comparable to New York City.