Here are some mechanisms by which that could be true without any sort of biologically-inherited learning being involved.
1. "Holocaust offspring" may have been told by their parents about their experiences, and that could sensitize them in various ways (e.g. more inclination to envisage very bad worst cases; vivid examples of terrible things available to their imaginations; some sort of unconscious fear of losing their parents; feelings of guilt at being upset about something less bad than what their parents went through).
2. "Holocaust offspring" are, necessarily, offspring of people who survived the Holocaust. Those people might be different genetically from the population at large, in all sorts of ways. Maybe some of them happen to correlate with greater susceptibility to PTSD.
3. "Holocaust offspring" might have a greater tendency to put themselves into the sort of situations that produce PTSD. (Either for #1-like reasons -- e.g., their parents' example makes them feel a greater obligation to put themselves into danger if they think it may save others -- or for #2-like reasons -- e.g., maybe people who survived the Holocaust tend to be braver or show more initiative or something like that.)
And a couple of other reasons to be cautious about interpreting these findings.
4. "largely selected from a convenience sample of people seeking treatment for Holocaust-related problems". That seems like an extremely fruitful source of selection bias.
5. PTSD is a thing that has to be diagnosed. The people making the diagnosis know their patients' history, or ought to. It's possible that a psychologist may be more inclined to diagnose PTSD if they know that their patient is the child of a Holocaust survivor.