Couldn't one argue that your 180 hours of logging meals and diets part of your research experience? How much did you do to create meal plans that was NOT part of this study?
I'll accept the 220 hours as a volunteer baker for service orientation, but I suggest expanding your distribution. Do you market yourself at farmer's/community markets? Do you bake for a local homeless shelter or veterans community center? Even for first responders?
Maybe I'm not getting how you can say you want to treat the individuals when you have done a lot of work with lifestyle/diet/preventative care. I know having physicians prescribe food or hand out vouchers is a novelty, but nutritionists also do this. Most who have metabolic syndrome do not have the financial means to afford GLP-1 agonists, so don't you have to know the community resources as well as public health and social workers? What you say you are doing and racking up the hours tells me more about your interests and passion.
Maybe it would be more convincing should you wind up working in IM specialties like cardiology (more than your shadowing), nephrology, GI. Nothing wrong with focusing on women and children; OB and peds are essential, and every medical school should be able to position you for those residencies or fellowships. What makes you stand out when discussing your passion for medicine, especially since you haven't shown that you are interested in the connections of the public health crisis with overall human health (to me from what you described).