Even if you disregard the anecdote (n=1) thing, it's quite obvious that genius has a genetic component to it, and the father being a good chess player tilts the odds in his favor quite a bit.
Also, the idea that chess is a good proxy for genius is a bit out of date.
Laszlo was casual amateur at chess, and it's an n=3 sample at least. Though one sister 'only' made it to IM, but that was likely more due to social reasons. She decided to get married, have a family, etc rather than continue on with chess as actively as the other sisters.