In general, the older you get, the less you fear dying. True or false?

Just from my personal experiences, this is true. But everyone has different personal examples. I am a 36 year old guy and all of my grandparents and great grandparents are dead now. It seemed as if none of them feared death at all. When I asked them if they feared dying, they simply said something to the effect of, "Ah, I am not worried about it. I have lived a long life. I am just grateful I have lived this long. Besides, there is no sense in fearing death because you can't control it anyways." That always kind of blew me away as a kid because I always feared dying. You would think that people would fear death more at the end of their life rather than in the beginning because it seems as if the sands of time are flowing downward faster than ever at the end of your life and time is running out. But, just from my experiences, I have found that almost all old folks don't fear dying. Some of them say they don't even think about it. Maybe the older you get, the more you are able to accept things you cannot control. What is your opinion on all of this?