Nonsence.
The Confederacy could have asked for peace, and received it, at any time between their formal declaration of war against the United States, May 6, 1861, and their ultimate Unconditional Surrender on April 9, 1865.
I have mentioned before the Hampton Roads Conference, barely two months before ultimate Unconditional Surrender.
At Hampton Roads Confederates could have negotiated much better terms than they got, just two months later.
But Confederates refused to negotiate, continued fighting, lost thousands more killed & wounded, before surrendering with no serious terms whatever, resulting in:
Refusal to negotiate is prima facie evidence of Confederate President Davis' raving insanity.
So tell us why you can't grasp such simple facts.
I would just like to add to your post that Alexander Stephens was at the Hampton Roads meeting with Lincoln. Alexander Stephens was also arrested for treason and imprisoned after the unconditional surrender. He spent five months in a prison cell in Boston Harbor. Never convicted.