Interesting website. But there's one rationalization missing, imho: that God alters the timeline. That is, amputees are in fact healed in response to prayer, but nobody knows about it because God goes back in time and ensures the amputation never happened in the first place.

Disclaimer: I didn't read the entire website yet.

Not the worst argument I've seen! I've been down numerous rabbit holes with regard to the "God is beyond time" concept. I even prayed for Abraham Lincoln at least once or twice, and started conceptually mapping out the number of prayers various historical figures may have tallied up over the centuries.

Now that I'm more of an agnostic utilitarian realist, it all seems a bit silly at this point, but there are certainly some fun thought experiments to explore.