I don't have the knwoledge to permit a critique of any value, but I have an observation. I would think a hurdle in asessing the effectiveness of counter-insurgency operations is the data. One illustration comes from the widely divergent reports on the results of the Aprl 1863 raids presented at the linked article. Who was killed during these raids, guerillas, their supporters, and/or lukewarm unionists? I wonder if these were the same raids that Bingham referred to in his essay on his Order No. 11 painting:

"But much the largest portion of this banditti were in daily and fraternal associaton with the Federal troops, and pepetrated their robberies and murders under their patronage and protection. The others, professing to act under Confederate authority, were too insignificant in numbers to have protected themselves in the district againt any serious efffort on the part of the military to expel them. The frequent raids of the latter, pretendedly for this purpose, were really directed against the unarmed inhabitants, more than thirty of whom, in one raid, were murdered in cold blood."