Considering how world-changing it would be to provide simple doctor's reports or photos of before and after, I cannot imagine sincerely believing that the miracle happened without also wanting to share the proof of such a incredible event.

The fact that their response is "have faith" instead of "Here's the evidence, and we're thrilled to provide it" tells me everything I need to know.

This is probably more common than we would expect. I remember seeing this fairly regularly as a kid at a time when the country was involved in no overseas conflicts.