Oh, I'm not surprised that it's the government definition or that you're satisfied with that standard. A big government leftist has to be happy living in a partitioned/shared crackerbox with their fellow comrades.
Not everything has to be political. How else would you define household if it's not defined as the definition provided above?
I.E. someone lives in a house with their spouse and 2 kids, that's a household of 4 with 2 wage earners.
I.E. a college graduate living in a studio. That's a household of 1 with 1 wage earner