Productivity in economics refers to how many units of output you can generate with a given amount of input, it doesn't take into account quality, usefulness, etc. Complaining "lines-of-code is not a sensical productivity measure" is too kind to the concept of productivity.
Using productivity as a metric leads to the same nonsequitur stuff in many many fields.
It works somewhat for industrial output when you're working with commodities. Or it can work in some more fields as an ancillary measure if you pair it with some other quality, customer satisfaction, outcomes etc measure. But usually you don't want to maximize work while getting good outcomes, you just want the good outcomes.
Using productivity as a metric leads to the same nonsequitur stuff in many many fields.
It works somewhat for industrial output when you're working with commodities. Or it can work in some more fields as an ancillary measure if you pair it with some other quality, customer satisfaction, outcomes etc measure. But usually you don't want to maximize work while getting good outcomes, you just want the good outcomes.