With modern software I can produce the output of hundreds of people from the 1960s orders of magnitude faster. Does that make me more productive? I mean, it does in terms of output, but not input. I'm not really working harder. I'm not really even working smarter. I'm just working on the shoulders of giants.
If I hired a guy to paint a room and gave him a 1-inch wide paintbrush it would take him significantly longer than a guy with a 2-foot wide paint roller. Is the second guy more productive? He does the same thing in less time. If you pay him hourly, you pay him less. You pay less for the same output. He's not working harder. He's just using better tools.
Again, I'm totally ignorant on what exactly "productivity" means in this context. Perhaps this is a well-understood facet of the problem and it is accounted for.