Without in the least dissenting from what Gums and PJ2 have written, and accepting that the drills were not exactly clear, it is I think worth reminding ourselves that 5deg pitch/CLB is not, of itself, deadly.
At 02:10:50 or thereabouts the aircraft was at 6 deg pitch, 5 deg AoA, climbing gently. The bank had been substantially zero for 15 secs past. The airspeed was 216 kts; which is about 1.17Vs. No stall warning. of course.
Had they stopped at that point or gone to level flight we would not be having all these discussions.It was the second pull up to 17 deg pitch that mattered and which is, for me, completely incomprehensible.