Sure. But that's not, in my view, how most people use the word productivity when describing LLM use.
In my field - operations - productivity is usually described as some rate of production for a specific asset. 100 widgets / machine / hour - for example.
"My productivity is 3 PRs / day with the LLM as opposed to 1 PR per every three days". That's how I think people are thinking about it.
My point is that's not the same thing as value. I.e. what people will pay for.