I think the trick is to hold the shutter button down as you wind on. I have one Instamatic that will do that. You hold it down, wind twice then let up and wind one more notch to lock it in.
Your correct and this is where the X25 fails as it automatically advances the film. The other Kodak 126 camera we have has corroded so it does not work. I suspect it was leaking batteries at some point.