Joshua, there is an even more graphic, and yet theologically related example: God has made not only a theological, but an ontological, difference in calling sinners to Christ. It is not merely a metaphor to say that if anyone is in Christ he is a new creation. In Catholic theology, as I understand it, baptismal regeneration is every bit as miraculous as transubstantiation. But even apart from that view of baptism (or the Eucharist), the passage from unbelief to faith is that from death to life, darkness to life, the psuchikos to the pneumatikos.
And yet there is no biological difference, nor even a disernible difference - and believers even intermarry with unbelievers, with some degree of scriptural disapproval of its anomaly, in the light of the new birth.
The reason it is a good analogy for Adam, I suggest, is that it close to being the same thing: Adam was called to be a new creation, but partly miscarried. Israel was called to be a new kind of humanity, but stumbled. The new creation in Christ, applied to each person who is “in Christ”, is both overturning their sin, and completing the very purpose God had in the garden.