If the pilot had put in a bit of .....
Is a lot to expect of a pilot in a suddenly alarming situation. The pilot's attention would be drawn away from flying to the distressed passenger. Precise flying would not be their priority. Yes, the door being closed can be affected by skidding the plane, this a practiced skill, which most pilots would be unaware of, and had never practiced. On the reverse, it would be very difficult for a pilot to get a person out through the door, if they did not want to go. A person would have to actively squirm out the door to get out. This sad story rings true to me.