I wonder, if the stern and bow separated quick enough, the stern may stay afloat at horizontal direction(therefore the waterline stays below portholes and any openings) and several hundred more people could have survived. If that happened, it would be depicted as a miracle.
However, even if the stern settled at vertical position, it was doomed as water could enter through non-watertight parts.
However, even if the stern settled at vertical position, it was doomed as water could enter through non-watertight parts.