This makes it sound like the ideal trajectory for a Stack Overflow user is "Answers a lot of questions, gets a new job, answers almost no questions", which I think is a little problematic.
That said, there are a lot of working arrangements in the world, and "spends almost all time working on assigned tasks" is just one of them. I get quite a bit of Internet karma (numerical and otherwise) while physically present at the day job, in downtime between tasks. My employers and I have an understanding on this: they treat me like an adult and let me manage my own use of time, I keep earning all the gold stars they stick onto my productivity evaluations.
("Has time to X" is not a measurement of productivity. It is a poor proxy for productivity, which is probably being used because management is not competent at actually measuring productivity. If you actually measure productivity, and the numbers say that Engineer X is 40% more productive than the company average, and you think "That's funny, he seems to have time to update his blog and check Facebook in between reading on new Javascript techniques and, oh yeah, there might have been some coding involved", then you know what that tells you? That Engineer X is 40% more productive than the company average.)