3300fpm with 1000' to go seems to be vastly excessive and poor airmanship. I assume the min climb gradient is required for noise/low level obstacles out of LCY?
Leaving aside the THY crew errors, I wonder what would have happened if they HAD followed the initial 'descend' RA - presumably the kit thought the Citation was going through their level (based on R of C) but in fact was apparently going to level off (quite a bunt I would have thought!).
Nearly a very big bang.