You know that kind of reduction isn't the same thing.
Earth+Life is a different entity than Earth on its own, or any other planet.
Earth allows and protects life, and life in turn influences Earth. That kind of symbiosis on such a scale is in a class of its own, with no other equivalent or analogy that we know of. It deserves a special classification.
It seems nonsensical in any case to claim something that contains life among its constituent parts is not itself alive. Plenty of organisms have 'dead' tissue as part of their gestalt and no one thinks of them as 'mostly' alive.