It would indeed. Usually the men named in these websites were attached to companies as cooks &c. Not being regularly enrolled, their names don't appear in the records even though they were with Confederate soldiers in almost every battle and campaign.

The Confederate government began conscripting free blacks based on the law of Feb. 17, 1864. However, these men were assigned to the quartermaster and commissary departments. Reports for the War Department and the Bureau of Conscription includes numbers of blacks assigned to duty in these departments from specific districts, but no names.