Question about French headset

Hi all,

I'm struggling to find a suitable headset for a French track frame that I recently acquired. I have a Peugeot Premiere carbolite which I (stupidly) thought was French threaded, only to read online that it isn't. BUT, having said that, the adjustable cup and lock nut from the pug both fit onto the French steerer. There is a tiny bit of play, but no more so than when I thread them onto the Peugeot steerer. The only part that doesn't actually fit is the crown race, which of course is a millimetre too small. even the keyed lock washer fits on, albeit not exactly correctly. What is occurring here? Is my Peugeot French after all, or are the threads that close that it's threading on regardless?

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