So... If you look at the exact wording of the press release; the impression I'm getting is that the manufacturing process of making the parts and making the watch is all using very non-computerized parts. BUT! That doesn't mean that they're not using computers designing the watch. CAD (computer aided design) could be utilized to design the watch, and the watch could still be made without computers, CNC machines, etc.
I know MIki Eleta doesn't use a computer at all in both design and in manufacturing. The only computer he does use is a Scientific Calculator!