In searching for facts leading to prevention strategies, I was drawn to the referenced image a few posts back that illustrated the flight track vs time and altitude. (see post # 303)
While the altitude seems to have reached about 3000 ft before descending it does not necessarily mean that the bird ingestion and left engine failure occurred at that point. There is a possibility that the ingestion event might have been shortly after liftoff (over the airport) and at least one engine continued working until the highest altitude attained.
Perhaps some performance analysis could be made from the chart to suggest whether the climb out was on a single engine.