Suspect they meant it's not implanted directly into the heart, just into the chest cavity instead.
I suspect you are right, but yeah, bad summary. I'd think it would be significantly less invasive, risky. Assuming they'd have to stop the heart to install a typical pump, but would not have to do so for this system. I was with a company that worked on a similar system a long time ago, and I seem to remember one of the selling points they were after is that it could be installed without stopping the heart.