The overall 1862 Confederate Strategy had extensive rewards. Two major Federal Army commanders were sacked, a third one was sidelined. Both theaters of Union advances were beaten back against the Ohio and across the Potomac. How much credit should General Lee be given for responding the the crisis? How much toward General Bragg? Someone within the Confederate hierarchy saw the opportunity to strike a 'one-two blow' against the North. I cannot believe these two northern invasions were matters of happenstance, but a concerted effort directed by Davis or one of his Cabinet, or the supporting generals.
The overall Confederate Strategy in 1862 was more of a disaster then success. The Confederacy lost their most important port New Orleans plus key cuties such has Nashville,Memphis and Corinth.
Cotton exports were severely curtailed and the Confederate economy was on a downward spiral. The Confederacy failed to win any border state and all their offensive operations on Union states failed.
Conventional warfare is a zero sum game the winner either seized and holds enemy territory or it looses.
Foreign recognition was a distant fantasy.
No matter how many generals get sacked the AoP is always a threat and will always pun down the AnV.