In episode 1x11 "Till the Blood Runs Clear", Crichton meets Furlow, who comes to know the specifications of his module. In episode 1x16 "A Human Reaction", Crichton meets the Ancients, who give him the wormhole knowledge. But Furlow herself is not seen in that episode, or in fact seen again at all until episode 3x14 "Infinite Possibilities Part 1: Daedalus Demands", where she is seen to have copied Crichton's module and used the knowledge in wormhole experiments.
The Ancients then assume that Crichton has fed information to Furlow and the Charrids, and question whether they were right to trust him. However, clearly they are wrong to even think that, as Furlow never met John between when he was in contact with the Ancients and when she copied his module. Right?
So since Furlow didn't have any specific technical data from Crichton's secret wormhole knowledge in her analysis of Crichton's module, why did she try to copy his module and then use the copy in wormhole experiments? And since Crichton's module couldn't possibly have had any modifications relating to his wormhole knowledge at the time that Furlow analysed it (as he hadn't even received the wormhole knowledge then), what exactly did Furlow copy that gave her something useful for the wormhole experiments?
I think it's stated somewhere that Furlow fitted the copy with a component (checking online, it seems it's called a "phase stabilizer") to allow it to pass through wormholes. This doesn't seem to make much sense either, because Crichton passed through a wormhole in his unmodified module in the very first episode of the show. But either way, this seems to suggest that there wasn't anything intrinsic about the module which allowed it to travel through wormholes, so I'm not sure what was worth copying.