If someone's mental health was low enough to end their own existence, I'm pretty sure worrying about the future of their family wasn't exactly a top concern in their mind.

Just as someone with Alzheimer's wouldn't be in the right mindset to remember names of friends and family, someone who actually ended their life wouldn't have been in the right mindset to care about what happens because of it. Would a perfectly fine, sane person remove themselves from being alive? Dying shouldn't be called an excuse to run away from responsibilities. A person's life should be more important to them than anything else. It stands to reason that anyone who willingly ends that life must have been too damaged, either physically or mentally.