Before you continue to agree with Sontagged, know that she is asserting that the resurrected Jesus had and needed blood coursing through his body to sustain the life in His body.
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This thread is packed with comic book theology.
As I understand it, Our Lord's Resurrected Body would be perfect, complete in every detail, lacking nothing, and then some. All of Him: cells, tissues, organs and systems, limbs and senses. They'd be more than complete: they'd be perfect.
And needing nothing.
I can't see how any of Our Resurrected Lord's bodily systems would have needed air or food or water or anything else to function. He could eat fish on the beach, bu He didn't require food. He could breathe on the Apostles and say "Peace," but He didn't need oxygen. He could display His physical Wounds, but he didn't need stitches or antibiotics or analgesia. He had no physical needs whatsoever.
He was, and is, Sovereign of the Universe. He didn't depend on physical things, Time and Space, Gravity and Magnetism and the strong and weak forces of the atom. They all depended on Him.
Beyond that, I don't think anyone knows how His various systems worked. That's why I can't comment any further than that.