Here is the document that proves you wrong.
Leslie's Illustrated News. 4/13/61. Front cover has the CSA Peace Commissioners to avoid a Civil War
You might want to look up this last one. It is an excellent rendition of Messrs. Crawford, Forsythe, and Roman, all waiting to negotiate peace with the new President Lincoln's government.
“Why would anyone refer to the men Davis dispatched as the “Virginia Peace Commissioners”?”
You were the one that tried to make the connection, not the newspaper article.
Unless you can read the text in that photo, all you're doing is repeating the description written by the seller. I assume that the paper doesn't also say "Full issue with events leading up to the war that would start in less than one week," but that's in the description, too.