Drop the other side of the implication
Not only are not all bad things traumatic, but not all traumatic things are bad. Events such as weddings and the birth of a (wanted) child can be quite traumatic but they are not (some cynics notwithstanding) bad.
Cheers,
Ben
"... I couldn't see how anyone could be educated by this self-propagating system in which people pass exams, teach others to pass exams, but nobody knows anything."
--Richard Feynman