If your son was a super wealthy multi-millionaire and lived in LA or New York, but he wasn’t famous and wasn’t close to your family members (brothers, nephews, nieces, etc.), would you tell them your son is rich?
Me personally, a lie by omission is still a lie, and hiding and keeping secrets from your family is wrong. I get that the son in this scenario could keep his wealth private from his extended family members if their situation is like mine—I only see my family, like my uncle and cousins, once a year, and that’s it, and we barely talk on the phone or social media. I don’t even follow them. But if my son got wealthy somehow, it would be morally wrong not to tell them.


Not my business.
“A lie by omission is still a lie” is bullshit in many circumstances, including this one.
I’ve told my wife about the older ladies at work I talk to. She knows where I go to bed every night (with her, if that wasn’t obvious). I don’t tell her every time a sweet older lady says hi to me, or if I wind up in her office and we talk for 45 minutes about nothing important. She knows it happens, and she trusts me to not cheat. And I’m not interested in cheating. I just like women in general (personality wise) and tend to get along with them. A lot of these women are married, too, and also aren’t looking to cheat.
And that’s just one example of the “lie by omission” fallacy.
If something isn’t your business, you’re not a liar by keeping someone’s privacy.