More likely the productivity growth was captured by the average poor in all the free programs we get today. Free google, free youtube, free porn, free wikipedia, free games, free...

That is a massive amount of content and products you consume today that just aren't accurately valued by GDP, and thus not captured by productivity measurements. The companies providing those services makes money in other ways, sure, but that value isn't even close to the amount of money it would have costed to buy that much products for consumers in the old economy.

Just take the amount of porn consumed by the average teenager today, that would have costed a fortune 30 years ago while today he got it for free.