I don't think the stock non-CDI stator will work.
The stock CDI-hobbits, like the point-hobbits, run a 6V generator. However, the CDI's have two specific coils for the CDI: a pulse coil (black/red wire) and an exciter coil (blue/yellow wire).
My CDI-hobbit was missing everything electrical but the stator when I got it, but I was able to replace it's parts with a NA50's electronics, which are 100% compatible.
I'm thinking maybe the NA50/PA50ii stators are interchangeable, too, since their wiring diagrams are identical. Check the Honda Express manual for details--it's a lot better than the Hobbit manual.