Non-Calvinist baptists are like hamburger eating vegetarians.
No matter how much they try to claim they are both at the same time, the assertion is so ludicrous as to not be worth any time contemplating it.
Both Adam and Eve ate, and both died spiritually that day otherwise God would be a liar. They were alive physically as the record attests, but they were "dead in Trespasses and Sin" just as the Apostle Paul frequently said.
From then on a "sin nature" was passed down to every human born of the line of Adam resulting in Sin and Death to the entire human race without the intervention of God.
Only one person was not born of the line of Adam - The Lord Jesus Christ "born of a virgin, born under the law" who lived a perfect life and died on the cross giving salvation to folks like you and me who believe by faith (a gift of God in the first place).
The issue here is believing that Mankind's spiritual nature is Not dead just as the Apostle Paul says.