> Productivity is for other people asking you to achieve a goal
Productivity is a measurement for any work, independent of the season why one executes this work. You can be productive for your own tasks, or the tasks for someone else, it still could be measured and evaluated.
> and you measure this productivity with money earned
No, you do not. Money can be a viable metric, but most often wage and productivity have not direct correlation in most jobs today. This is a typical misconception.
it's not a misconception. Many productivity measurement metrics are very subjective, except for money paid for work.
Productivity is correlated to the job being done, but only under free market competition conditions, and that all participants have similar bargaining power. Otherwise, slavery is highly productive, but the monies paid is next to zero. But you can use the sold-price of the goods to determine productivity, instead of the wages. So money is still a good measurement, even in the degenerate case.
You could be doing meaningful stuff for yourself, like a starving artist. It is not productive, if other people do not pay you for your art work.
You could be doing very productive work, but not meaningful (for yourself).