Azor I support your idea. Instead of a lecture perhaps you could prepare a brief bound report about Blood beliefs of the JW's and just hand the report to the doctor and invite them to keep it. Bullet points on the very first page will allow the doctor to understand what the report contains and hopefully lead them to review and share the material. You could preface it with your past beliefs as a clue to the mindset of the average or uber Witness. As well as the penalties a JW faces if they accept a blood transfusion.
jwfacts.com is a good place to start on the flip flops of WT thinking.
This next site has hard information about increased risk for JW's
THE BEST RESULTS FOR YOUR CHILD!