I think that reaction time plays a big factor in this case.
You jump in an airplane thet flew in, and rght after rotation ( if all posted data are correct) you get an airframe that does not want to climb.
Meters above ground you soldier on fighting and throubleshooting untill you loose it after a mere 6 minutes of pure surprice/panic.
In this case( again if all info posted is correct) you have no room, no time, no "spare" altitude.