It's not surprising given the current economic climate that a cottage industry would develop on the right claiming the New Deal was ineffective at ending the depression, and the country never truly recovered until World War II.
I don't know/care if this is correct. Let's say that it is.
Exactly what do the folks making this argument expect it to prove? That spending to create "make work" government jobs is a poor solution for economic recovery? What do they happened during the war? If anything, this argument seems to show that the initial New Deal programs weren't far-reaching enough.
Perhaps righties believe we're in a kind of video game world where a little pot of wealth bloops onscreen whenever a non-American gets whacked. I can believe that.
Not that I would necessarily endorse a wartime economy even without the war