I think that is the case. I think many jobs are added in smaller businesses that don't normally make the news, and this occurs for alot of reasons, especially now. First, the easiest thing for someone to do who has lost a good-paying job in a "blue collar" type work is to start his or her own business. Everything from landscaping, to electrical to plumbing to small contracting---these are businesses with relatively low startup.
Second, such jobs often just don't get counted in the official stats, because they aren't "union" jobs and they slip through the cracks in the numbers.
War is viewed by economists as TEMPORARILY increasing employment only because it puts people (usually forcibly) in the army, and replaces them with other people. But research we have on wars (Civil War, WW II) shows that the "gains" typically omit the damage to property and the cost (literally, the $ cost) in lives of war. For example, most economic historians don't find much economic boost in the War of 1812, the Civil War, or the Spanish American War. There is even controversy about whether WW II gave the purported boost to the economy it is claimed.
I think it did, but only because of the pent up savings caused by the war.
Ding...Ding...Ding!!
I believe we have a winner!
J