What I am saying is mainstream but different from your opinion. I am saying Adam was created a natural rather than spiritual man (actually, Paul said it and I am repeating Paul).
Natural man is not by nature spiritually alive. This does not mean natural man was alive spiritually and then died spiritually (as while also a mainstream opinion it is foreign to the Bible).
I don't know what you are talking about when you say 2 Corinthians 15. Please clarify that. Adam was not a natural man. A natural man is the descendant of Adam, who is born a sinner. Adam was created perfect and only sinned when he followed Eve into sin. Once Adam sinned, then he had to have animals killed and sacrificed for his clothing. So death happened right away and blood was shed right away.
However, Adam was created to live eternally and so Adam had a soul. Genesis 2:7 (KJV) And the LORD God formed man [of] the dust of the ground, and breathed into his nostrils the breath of life; and man became a living soul.