I cant help feeling that things probably happened the other way round. JAL123 (1985) flew (erratically) for over half an hour without a tail fin.
I'm no big engineer, but if the engine seperated through some sort of fatigue or shock surely the drag on that wing could cause severe shock loading on the fin also, could this also be enough to rip off the rudder from the fin?
Could the loss of hydraulics and the fin under severe yaw put the aircraft in to an uncontrolable dive more quickly than normal, maybe ripping the other engine (still under heavy thrust) fom its mount?
Thoughts and prayers are with all the families involved.