But that's a 23mm puller. The stronglight is 23.3mm or thereabouts. Won't the park tool strip off the top of the threads? Or are you saying the bolt from the park tool fits in the stronglight extractor?

I checked the stronglight extractor with a pitch gauge and it is indeed a 1.00 pitch. This is quite hard to find in a 12mm bolt. Extra fine is common but is 1.25 pitch. 1.00 is considered super fine and the only source I could find online was in the UK.