Look, close family like your mother, father, brother, wife, child should have this information, in my opinion. However, I'd argue not disclosing it to the entire kinfolk. Like, okay, why should your brother-in-law know every little detail about you and cryptocurrencies? It's not he the problem, it's the fact that he may disclose it to people whom you would not approve of disclosing, and result into this thing none of us want to; becoming a target.
It's going to vastly differ for everyone. You might not trust even immediate family members, but almost everyone has someone they can trust. There's always that chance; where you might trust them to leave the Bitcoin alone, and only act upon it if something were to happen to you, but unfortunately if you don't want other people knowing you own Bitcoin, that could be harder to trust that someone doesn't mention it. However, you could just make that clear, and if people did find out, you just remove access since that was one of the requirements for trusting them.
I don't know though, blabbing about your Bitcoin probably isn't worth jeopardizing family. I feel like most people that are worth trusting, and you'd consider trusting in the first place would know that.