I think the bigger lesson is you let your physicians know what you're taking. Anytime I'm asked what I'm taking I include all the supplements I use and personally think you should be working with a doctor who is recommending the supplements.
Your product is clearly marketed & positioned as a health/medical product. With clear medical benefits for the use of your product. Even mentioning cancer and such.
As well as having clear recommendations in your blog what clients can do to bring their inflammation down.
It's then also your responsibility if these recommendations are effective and not harmful.
I understand it might be needed for legal, but then it also would be better to reframe your proposition.