I had to parse that part a few times to get it myself, when I saw you didn't get it too I could relate.
Then I had to think a few times about what you gave in response! It seems this part of the topic is quite involved. I think I get some of it now.
If you drop the assumption that grow takes energy, then no extra demand on energy from growth, then no price increase on energy, then no inflation, and so it's just growth, not inflation. Agreed.
But when you and me are examining it like this...the whole situation described by that sentence starts to seem a little contrived to me. Seems there's a lot of error bars on each of the assumed connections in that causal chain, that could lead that path to branch at each of them into many other possible paths, rather than just the one path that condensed sentence proposes.
I still have a hard time imagining a growth that doesn't use more energy (except the one defined in that article as "development", which seems to be a more sophisticated/involved use of existing resources, rather than extracting/creating more new (primary) resources.)
If you could elaborate some more on your images of growth that don't consume more energy, I'd find it helpful to understand this whole thing better.