They won't state the cause of death until they have had a postmortum and a coroners inquest - this is the law and it is also the law that the public will have a right to hear what the cause of death is as it is with any death (will be clear on the death certificate which is a matter of public record).

The DJ's did breach certain laws by airing the conversation that took place without the participants consent, so they are guilty of more than a pratical joke. Point being, if they had asked for consent, it would not have been given, hence they did not ask for it in the first place (despite all they say)