I think that the difficulty is that we dont know.
However we can guess that this did contribute. It seems very likely that either with or without prior issues, this was a contributing factor. I think for that reason alone the DJs / Station etc should be apologising. The fact that they apparently cant because its admiting liability is just another symptom of the crap situation.
If a car skids on a patch of ice, and lands near the edge of a cliff, and then another couple do the same and each car knocks it closer to falling off the edge, and then I come along and skid and am the one car too many that ends up pushing the original car off the edge to their death, is it my fault they are dead? No. Not completely. Have I contributed to their death? Yes. Could I have forseen the consequences? No? Would I feel shockingly bad? Yes. Would I apologise to their families. You bet the fuck I would.
I think that actually the worse thing about this, is if she hadnt taken her own life, we wouldnt be hearing about it. There would be no uproar about it if she had just lost her job, or had a mental breakdown. Thats shocking.
The station should not have aired the tape without the hospitals permission. They tried 5 times, big wow. They then decided that permission or not they would play the tape, and thats wrong. They had no idea how any of the people involved would act. They had no knowledge if ay of the people involved were "delicate" and if they could / could not take this "joke".