What a dichotomy in this world of duality. Even Shakespeare's Hamlet pondered, "To Be or Not To Be."
If given the choice, I would favor the perfect mind. In today's technological world, I could --- with a perfect mind --- choose the optimal path towards maintaining good health which could benefit other physical attributes.
While I still favor "the perfect mind" we do live in a material reality as well. There is an old expression , "rich or poor it's nice to have money." Hmm, where is that genie when you need one? ... Still, it's the power of the mind in control!
Yes, you are right. A perfect mind could find ways to derive perfect health as well.