Wording of France 'fully vaccinated' entry requirements

At the time of writing, the covid-19-related entry requirements for France* include this section about vaccinations:

Since 1 February 2022, in order for their vaccination schedule to continue to be recognised as complete, persons aged 18 years or older wishing to enter French territory must have received a booster dose of messenger RNA vaccine no later than nine months after receiving the last mandatory dose.

The way I read it, it says that the gap between original vaccination(s) and booster dose may not be greater than 9 months. So:

May 2021 ----------------------- Dec 2021 ------------ recognised as fully vaccinated?
vaccine(s) ---------------------- booster -----------  YES

OK because May to Dec is less than 9 months

Jan 2021 ----------------------- Dec 2021 ------------ recognised as fully vaccinated?
vaccine(s) ---------------------- booster -----------  NO

Not OK, because Jan to Dec is more than 9 months. A traveller in this position is supposed to, I guess, dig out a time machine and make their jabs closer together...

However, every third-party interpretation of these rules that I have seen suggests that the rule is that you have to have had a main course or a booster within the last 9 months

So have I interpreted the rules correctly, or are the places saying "main course / booster within last 9 months is OK" actually right?

_{* the original French as below, and my schoolboy French suggests that the gouv.fr website's translation is accurate

Depuis le 1er février 2022, pour que leur schéma vaccinal reste
reconnu comme complet, les personnes de dix-huit ans ou plus
souhaitant entrer sur le territoire national doivent avoir reçu une
dose de vaccin à ARN messager complémentaire au plus tard 9 mois
suivant l'injection de la dernière dose requise.}