I do not know if we can do it different, because it is so ingrained in our culture but I do not like our response to death. When someone falls ill, we are sad for them and wish them all the best, speedy recovery and all that. We try in whatever our capacity to care for and remind them they are cared for. The longer the illness persists sometimes this supports wanes. It makes sense, life carries on at the speed of time in spite of our loved one's illness. Bills have to be paid, work attended, kids cared for and clothed etc. At this time we, maybe just I, tend to be lax in providing support and prayer. Which is sad because the next thing you hear is, "So-'n-so is in the hospital, their condition has deteriorated." The fervency returns and in a few days or weeks, they are deceased then we are sad and all broken up because our dearly beloved is no longer with us.
Might I be so bold as to contrast with David who while his son (who was 'scheduled' to die) lived and struggled with illness the man would not eat, he spent his time in prayer on behalf of the child. After the boy died, he got up, cleaned up and went about his usual life. He did this for the boy, he wanted the boy to live.
There is excessive emotion and grief at death, because I think we should be more emotional and grieved in the sickness that leads to death. Once dead our loved ones in the Lord are in a perfect place. Yes, we may grieve to not see them for a while, but that grief should be brief. There is more need for grief while they lie in a sick bed. I just think the whole thing is lopsided. Grief at death is for us, we want them back, we want them around - we/me. In grieving during illness like David we grieve ourselves in the hope that the Lord may have mercy and spare their life - them/others. See where I am going?
A co-worker died yesterday, as hurt as I am by her death I am more hurt because I did not hurt while she was ill for months. I prayed for her, but not as much as I could have. Working in health care I am learning there is no 'temporary' illness. It is stupid not to assume any sickness is unto death, and yet it is morbid to assume all sickness is unto death. This is not for me a call to balance, but to lopsidedness. A call to care more, grieve more, pray more while people live. For when they die they are dead. Maybe, the excess of grief at death is because we all mourn with regret for not being more engaged while one lived. I am sure there is not a single answer.