But, I feel like it's typical for "average" parents to seek help for dealing with their gifted children. I've read a bit about that online. Haven't seen much about the opposite.
Imagine a parent who is proud of their child's precocity. What's the opposite of pride? Shame? Do I feel some shame? Maybe a smidge. Love is definitely the predominant feeling. Thank God.
My tip would be to just let the child be average. Do you think your higher IQ has made you happier throughout your life? Nothing bad about being average.
[0] https://www.sfgate.com/bayarea/article/Why-are-Palo-Alto-s-k...
Are they concerned about depression because he's afraid his daughter won't be smart enough? Do they think 68% of the population within 1 SD of the mean IQ are suicidal, or should be?