In my own experience, this was not the case... and the cause was the traffic light for pedestrians.
I have seen traffic lights with timers before, but these ones work oppositely as I expected.
The countdown in red numbers actually means that you can still cross for N seconds.
In Europe the same countdown would mean that you cannot cross for another N seconds.
The red hand tells you to not cross, whereas in Europe the same message is transmitted through a standing man.
The "green light" saying that it is OK to cross the street is actually white and is illustrated by a walking white man.
In Europe the walking man is green, hence the green light.
Quite interestingly, the traffic lights for cars are exactly the same as in Europe...