The Confederate Constitution banned the slavery trade from anywhere it had been banned from prior to secessionist everywhere except other states. It also permitted states to join which did not allow slavery.
Why reject slavery forever when the Confederate Constitution offered no more protections for slavery than existed under the US Constitution?
It did neither.
The Confederate Constitution added three new protections in support of slavery not found in the US Constitution:
So on the question of which Constitution protected slavery better, even considering Corwin, there simply was no contest.
The Confederate constitution provided 1861 Fire Eater secessionists with every protection for slavery they believed was missing from the US Constitution.