The reason I will not be convinced is that in the last 20 years I have seen first hand hundreds of people cure such diseases from Crohn's to many types of cancer by fasting.
The only times people have not been as successful as others is when fasting was preceded by chemotherapy/radiation which frankly destroy the body and for the most part is a death sentence one way or another.
And you are flat out wrong about your last point. Fasting is the biggest gift you can give your body, including and especially when it appears weaker due to a disease.