I wouldn't have them do utterly useless jobs like this, but rather government jobs that need doing but don't take years of training. There will always be some churn of unemployment anyway, we should take advantage of it. Why hire someone to do this kind of job when we have people literally sitting around looking for something to do?

Of course to balance this you would need to raise unemployment benefit and get rid of this shameful "food stamp" concept. Everyone on unemployment gets a fair living wage, they just have to work part time in some government job with bursts to full time when needed (e.g. holidays, etc.).