Let's not use the term "deep stall" in reference to this accident. A "deep stall" is a specific kind of stall where the attitude of the aircraft is such that the wings block airflow to the horizontal stabilizer, making elevator inputs useless for recovery. Almost always involves a "T"-tail design, which does include any Airbus aircraft.
Agreed. "Deep Stall" has developed a second usage in the media, where it seems to mean a rapid breaking stall from a high pitch attitude. I've even caught myself using it that way from time to time.