In other words, productivity need not be confused with busywork, and I suspect this is primarily an artifact of linguistic heuristics (similar brain procedures get lightly activated when you hear "productivity" as when you hear "workout" or "haste" or even "forward march").

If productivity were a currency, you could say "have I acquired more productons this week than last week with respect to my current goal?" If making your family well off can be achieved by lounging around in the pool splashing each other, then that is high family welfare productivity.