It's not your job to diagnose or report a mechanical problem, just like it's not your job to ascertain based on a quick visual scan that something is wrong with the door. I don't like this because it suggests if you went in or out of the door previously, she is saying that you should have noticed a problem with the closing speed. It implies the onus is on you to judge the safety of the door and its speed.

If you announce that you had noticed something wrong with the door, and you had gone in or out of the door previously, then that implies you were at fault in using the door. That's bunk.