I certainly hope so, but results of the past few weeks lead me to suspect otherwise.
You may form any opinion you wish as to what constitutes a soldier. It doesn't really matter what you or I think about that because the Confederacy and the Confederate states made a distinction between armed and non-armed services. For example, the Act by the State of Tennessee which David cited called on FMoC to be enrolled, the specific purpose was to serve the needs of white soldiers. That's all, because that's all they were allowed to do.
To make your point, an unarmed man in the quartermaster corps or in a labor battalion could be killed in battle or die of disease. THat's always true. However, as everyone knows, members of cavalry, artillery and infantry are much more likely to become casualties of war. That's a line drawn by the Confederate War Department and the Confederate government.