The winder takes either type of AA cell, and is the same one that is used for any of the other 200-series cameras, yes.
The one that was made for the 200-series has two short blue stripes on the housing (on the side, below the strap lug).
There's one without those stripes too, which was the version for the 2000-series cameras. That one will work too, but has a feature 200-series cameras do not need.
Both types are called "Winder F", the one for the 200-series has atalogue number 44069.