New Order took the name of their track from the colloquialism for a day taken off by a worker to sober up after a weekend of drinking. The term goes way back to before the Industrial Revolution had everyone punching a time clock.
New Order probably weren't thinking of cottage industry when they produced the track, but they had just been introduced to the New York dance and drugs scene. The mix of electronica with despondent lyrics captures the post-club comedown when you realise you are going to have to go to work.
There is a George Gershwin opera of the same title, and the band did occasionally name their tracks after films (Thieves Like Us) but I think this is a coincidence.