I think main mechanical innovation in this, the heddle selector, is really cool. But I think it can be utilized even without the computer.

I can imagine a periodic warp pattern could be encoded on a pin wheel, with pins selecting which warps need to be lowered. Then this wheel would have a pinion gear, which would interlock with a gear rack on the heddle frame. So you could just manually move the pin wheel across the heddle frame, and as it would rotate, the protruding pins would push the heddle selectors to create the warp pattern. At the end, there could be some mechanism to reset the wheel to offset position, so you could run with it again.