Quite agree. The example given is bad because we don't know about the bull and we don't care about it. Lots more, we are not given the final details about the accident, so the report looks rather incomplete at the end.
When telling a story you want to introduce the maximum meaningful uncertainty into your telling to attract the listener into listening attentively to try to resolve it.
"The bull is dead." immediately introduces clearly important information that tells the listener they need to focus, but at the same time makes it clear that more context is needed. i.e the subtext is "listen up important details to follow".
For status reporting you want to allow the listener to stop as soon as possible to free up his/her/its limited management focus "bandwidth".
"I was in an accident, but I'm fine" would fit his paradigm better. (But would make a less notable/memorable story)