Once you start getting into these sorts of assumptions about trends and correlations, you really have to have a good understanding of all these inputs. They are all suspect to different degrees across different time horizons and scenarios.
What you really have when you put together these predictions is "Given A,B,C & D, this Y is likely to be whatever." That only works when you understand A,B,C & D quite well and keep them in your head. It's also bait for our biases and grand worldviews.
I had this massive argument 10 years ago with a politically active friend on the left. He was/is a sort of modern socialist-environmetalist. He brought up exactly this energy-gdp correlation and was extrapolating a log way into the future. It also played into his general sense that GDP growth is an unbecoming central goal for a society and that economic progress is at odds with the environment.
It's not a nonsensical perpective. That correlation is relevant. But, you need to get into the subtleties.
Even the concept of "economic growth" is an abstract thing. GDP as a measure of economic output is becoming less and less useful metric. Wikipedia consumption contributes nothing to GDP. Some kid torrenting game of thrones contributes nothing to GDP. These things have value, but monetary exchanges are not good proxies for them.
Even within the "energy intensive manufacturing" paradigm, an iphone's utility-to-energy cost ratio is a funky thing to try and fit in to the GDP concept which ultimately uses money to measure value. A 2015 iphone is worth more than a 2010 iphone. You can see this if you try to sell one and if you could go back to 2010 in time with a box of 2015 iphones you would see it as well. But beyond that, trying to do price adjustments (which are the basis of "keeping interest rate constant") on a rapidly developing technological product puts you in the weeds.
This complexity is exactly why these correlations and trends are interesting They cut through the messiness. I think we should still do this. But… you need to treat these in the same way you'd treat Kurzweil's theories. Interesting, but built on a lot of unknowns. Too many to make you too confident.