As a non-JW, I would appreciate hearing the thoughts of an exited JW because the rationale you would delve into is something that they have to deal with occasionally. Personally?... I think it could help. Maybe you could write a letter about your mindset in the beginning of your child's sickness and your mindset now. Something they can hold on to and possibly file for other doctor's reading?
I'm glad to hear that your child is doing better. :)