Can you provide a link to support that? Because there are a good many who agree that the CSA doesn't give up slavery short of conquest or internal revolution. So good luck passing an abolition amendment; it's very mention is banned in Congress, and in most every State and by the CS Constitution.
Slavery cannot be abolished by constitutional ammendment or any other centralized way in the CSA. Abolition in the CSA is going to be a slow state-by-state endevour, individual states can alter their constitutions, it's really a matter of when. Places like Tennessee, Kentucky, Virginia, Arkansas, etc may be the first CS states to do it, but not for quite a while.
But when the Boll Weevil hits the Deep South (early 1890s), things get interesting.