If you are going to insist on a literal interpretation, you must accept Romans 5:14:
Nevertheless death reigned from Adam to Moses, even over them that had not sinned after the similitude of Adam's transgression, who is the figure of him that was to come.
"adam hos estin tupos tou mellontos"
"tupos" = type = figure (translated
There it is, explictly and insuperable --
For others observing, a helpful link:
(Don't be intransigeant - nudge nudge)
With sincere respect --
Here "Adam" and "Moses" are metonomies (figurative-literal language) for a time span limited by the Covenants -- Adamic, Noachic, Abrahamic, Mosaic; whereas the second reference in that verse to "Adam" is to his real person (literal language) as well as his symbolic characterization (explicit figurative-literal use) . The One who is to come is literally Christ, not figurative.
The point was made that Adam was a "type" of Christ because he "chose" to die. That logic remains unconvincing; Adam died as a result of his own sin and Christ died for the sin of the world. Adam chose to sin, and death resulted; Christ never sinned, but chose to die to rescue those who would choose the accept the pardon He provided.
From your link:
"Adam is the representative of fallen humanity while Christ is representative of redeemed humanity (Rom. 5:14)."
So while the Holy Spirit states that Adam is a "type" of Christ in that he suffered both spiritual and physical death so that Eve would not be destroyed, there can be no equating of Adam, who freely chose sin, and Christ, who was sinless yet through His obedience to the Father, became the substitution for us and paid the debt we owe for our rebellion.