Is God Hiding or Not?

From a post of the same title on the Dilbert blog:

Speaking of skeptics, a reader pointed me to a web site titled Why Won't God Heal Amputees? The rhetorical point of the question is that God only heals the sort of people that might have gotten better on their own, such as cancer patients and the like. That always leaves some ambiguity as to whether it's a true miracle or a routine remission. Why are there no clear miracles such as God making an arm grow back? That's just one argument of many on the site: http://whywontgodhealamputees.com/

From that web site:

For this experiment, we need to find a deserving person who has had both of his legs amputated. For example, find a sincere, devout veteran of the Iraqi war, or a person who was involved in a tragic automobile accident. Now create a prayer circle like the one created for Jeanna Giese. The job of this prayer circle is simple: pray to God to restore the amputated legs of this deserving person. I do not mean to pray for a team of renowned surgeons to somehow graft the legs of a cadaver onto the soldier, nor for a team of renowned scientists to craft mechanical legs for him. Pray that God spontaneously and miraculously restores the soldier's legs overnight, in the same way that God spontaneously and miraculously cured Jeanna Giese and Marilyn Hickey's mother. If possible, get millions of people all over the planet to join the prayer circle and pray their most fervent prayers. Get millions of people praying in unison for a single miracle for this one deserving amputee. Then stand back and watch. What is going to happen? Jesus clearly says that if you believe, you will receive whatever you ask for in prayer. He does not say it once -- he says it many times in many ways in the Bible. And yet, even with millions of people praying, nothing will happen. No matter how many people pray. No matter how sincere those people are. No matter how much they believe. No matter how devout and deserving the recipient. Nothing will happen. The legs will not regenerate. Prayer does not restore the severed limbs of amputees. You can electronically search through all the medical journals ever written -- there is no documented case of an amputated leg being restored spontaneously. And we know that God ignores the prayers of amputees through our own observations of the world around us. If God were answering the prayers of amputees to regenerate their lost limbs, we would be seeing amputated legs growing back every day. Isn't that odd?

What do you think? I think this is thought-provoking and brings to light the fact that something isn't quite right about the conventional understanding of the purposes and of prayer.