I think we're finding measures of "productivity" in almost all fields are pretty bad and AI is a great way to game them. PR's, papers, etc. We have to stop looking at volume-of-stuff as a useful metric.
Unfortunately, "volume of stuff" is how governments allocate funding, for stuff like education, healthcare, research, etc
Any kind of quality metrics, outside of the free market capitalist "how much profit you made?", will be gamed within a few years to get the same results, for things that aren't designed to turn a profit, since there's no fair and objective metric in that case.