Seems to me that the official CSA response to blacks in Union uniform was to issue a general order that they were not legitimate soldiers and any taken POW would be treated as slaves. Seems to me that became a real issue in arranging exchanges between the USA and CSA, and in their mutual treatment of POWS.
Seems to me that when Union black soldiers were taken alive as POWs by the CSA, the official policy at first was to order them put to work, not held officially as prisoners, at least at first, and only when Union officers said if the practice does not cease white CSA POWs would be put to hard labor in retaliation.
Since the CSA had thousands of black soldiers in their own ranks, according to your source material, why would the CSA military issue official orders not to recognize any Union blacks as soldiers, and why would the CSA not practice and demand equal treatment of all POWs regardless of race right from the start?