YUP. Of course there is a strong correlation between energy use and GDP growth; it takes more energy to produce more stuff.
But ultimately, what produces more stuff is harder to measure. To light the factories, more energy used to correlate with more light, until we swap out the incandescent/halogen lighting sources for LEDs. Then, we get more light for something like 16% of the energy usage. Or, getting to the stage of "lights-out" automation, and the same production for zero lighting energy. Same for more efficient motors, swapping ovens for inductive heating, more efficient processes, etc.
Seems that measuring GPD growth by energy consumption is like Bill Gates' famous example of saying that "measuring software progress by lines of code is like measuring progress in aircraft by the weight of the planes". Obviously, in specific cases, all things being equal, more is more, but in reality, fewer LOC and lighter airplanes generally produce more results.