With all due respect, you do not understand the meaning, in labor economics terms, of the word "productivity."
In claiming, in the context of your discussion of productivity, that people are working "longer," you seem to be implying that increased productivity is achieved as the result of people working longer hours.
In fact, productivity is the measure of the PER/HOUR value of goods or services produced by a worker. It is precisely by increasing productivity that workers become more valuable, and can earn as much or more than they previously earned by working FEWER hours.
If people become more productive, and choose to work longer hours, than they would be multiplying their earning power. But again, to recapitulate, productivity increases are entirely unrelated to longer working hours.