I am not sure about what you call lost cause myth. Most soldiers who could came back to rebuild their live and homes after the war. Take Evan P. Howell for instance. He had a saw mill in Milton County. He was revered by the people of Gwinnett County and he named the City of Duluth in 1876. Later he helped recover the gold dome in Atlanta, Became editor of the Atlanta Constitution. Howell mill Road is named for him and his son Clark Howell wrote a history of Atlanta and had a ship named for him. Some of the greatest accomplishments made by cofederate veterans were made after the war.
Coca Cola - Johnathan Styth Pemberton
Atlanta Journal and Constitution ( although you will never hear them admit it) founded by Col Carey Styles, William Hemphill, and later editor Evan P. Howell. Edwin Hodge was the founder of the Atlanta, Journal. all veterans,
Many cities and towns are named for them because thay had the right stuff. The courage and fortitude to keep going.,