This is not true at all.
Some survive, but many die from the things you've described. Of those that survive, many fail completely to build a great life afterwards. They succumb to alcoholism, other addictions, and many die later from suicide.
Talk to any therapist and you'll find out that human fragility is the rule rather than the exception. After traumatic events, even those that "still manage to build a great life", as viewed from the outside, are often suffering greatly on the inside. Some of them manage to heal themselves with therapy and loving supportive relationships, but a great many don't. Which is why cycles of trauma unfortunately get passed on.