What if I told you that I'm afraid that my biggest fear is not being visibly upset if a family member dies?
Why wouldn't you be upset if a family member died?
I was born and raised in a family where we simply don't show any emotions because we'd rather pretend we're fine than to abandon our pride.
You should always show that you care about your family. Otherwise they could end up dying not knowing that you loved them.
It's just not an important thing in my culture.
It might not be important in your culture but it is not too late to change things within your own family. Maybe there is a way you can show them that you care without showing too many emotions.