pocohombre
I think your difficulty is that you assume that all the consequences of Adam’s sin are linked to that sin in the same way. They are not. Genesis seems to go out of its way to make this clear with respect to immortality.
Adam’s aging and intrinsic lack of bodily immortality was inherent in Adam’s perfect human nature in Paradise even before the Fall.
God’s “curse” somehow wounded that perfect human nature and that wound (original sin)is passed down through human generation. But mortality was not encompassed in this wound. I accept Jesus did not inherit the effects of this wound to human nature. But as death was not intrinsically part of this inherited wound in the first place we must search elsewhere the reason why Jesus (and ourselves) was bound to die naturally anyway

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I maintain the loss of corporeal immortality was actually due to a more “external” mechanism - being locked out of the Garden where the Tree of Life" grows so that it cannot be locally accessed.
Hence Jesus, being born into a humanity that is, as a species, “locally” locked out of the Garden, remains deprived of the Tree of Life just like us. He too over time would corrupt and die naturally.
It is interesting that the Fathers opined that God locked us out of the Garden after the Fall as a great compassion, and not because He was jealous that we might receive immortality after sinning. For if we had received immortality after sinning later redemption (ie heaven) would have been impossible.
Therefore I conclude that “death is the wages of sin” needs to be understood with these subtle distinctions in mind. “Wages” is clearly a cause of death for “extrinsic” reasons rather than “intrinsic” reasons. For we were inherently mortal even before the Fall. We did not so much lose immortality, rather we failed to do what was necessary to gain “natural” immortality (quite different from “heaven”).