What kind of citation or evidence would you expect? How would you measure productivity gains? From my personal life and activities however it is very clear. I have simply been able to do so many things I would have never been able to do without AI.
Our experiences don't agree with the established facts, but the plural of "anecdote" is not "data."
I'm not entirely sure - certainly anecdotes abound (as do anecdotes to the contrary).
I am however sure that when someone claims that a technology is world-changing, and that it has already led to significant productivity gains... the onus is on them to provide evidence for such claims
It is too fast evolving to be able to be legitimately scientifically understood. It is non sense to expect that.
By all means share anecdotes, but maybe phrase them as anecdotes. "improving my own productivity massively" is an anecdote, whereas "delivering massive productivity gains" reads as a sweeping generalisation