Uncomfortable questions about Alex Trebek

The Jeopardy! host, Alex Trebek, posted a video recently in which he described his grim medical condition—late stage pancreatic cancer. Trebek talked about it with courage, honesty, and even humor. His attitude is an admirable one.
He also asked for prayers on his behalf. 
Questions about that:

• If he lives, is that proof that prayers work?
• If he dies, is that proof that prayers don't work?
• If he lives and it means that the Christian god responded to the prayers, why would this be so? Would it be because of the volume of prayers? If true, why would that matter? 

Trebek seems to be a good person. He has participated in USO tours, donated land to conservancy organization, and donated millions to education. As a percentage of his net worth (a reported $50 million), however, his totals are not exceptional. He does his job well. There are many people, however, who are as upstanding and do their jobs well but few will ever know who they are. Their jobs are not jobs that ever touch the lives of others in any significant way, no matter how well they do them. Trebek has never cured a disease or ended suffering for anyone, to my knowledge, though he may have been a fine son/brother/father or spouse.