This will be slightly off topic, but it may shed some light on PADI in France. If there are any PADI people from France reading this, I would be interested in more information.
If you look at the PADI Student Record File (SRF) used in the United States, in both the Confined Water and Knowledge Review sections, the instructions clearly state that if one instructor has done all the work in either of those areas, that instructor can skip all the lines on every item for individual initials and just sign once at the bottom of the section. Our shop had someone even call PADI and confirm that, which was a great relief to instructors weary of filling in so many initials for so many skills for so many students. When a student is done with all of that and wants to complete the certification while on vacation, that page is copied, and the student merely needs to show it to the certifying instructor while on vacation.
We then had a student get back to us with a problem. He was on a Caribbean vacation, and the dive shop there was refusing to accept the referral because all of the spaces for initials were not filled in. A flurry of phone calls, including a confirmation call to PADI, explained to the shop that those initials were not necessary. Sorry, the shop replied. We are a French island in the Caribbean. We are not bound by PADI Americas. We are bound by PADI Europe, and PADI Europe apparently supported their contention that every space had to be initialed. The student had to retake both the classroom and confined water portions of the course if he wanted to be certified. (IIRC, he just skipped the diving he had planned to do on the vacation and got certified after returning home.)
My take away is that just because a shop in France uses the PADI name, it does not mean that its rules and policies will be the same as those to which we are accustomed in the United States.