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Benefits of registering include
You will need to have an up to date (less than a year old) medical certificate. You can get them done easily in France but why waste your holiday? Also your PADI Divemaster is only a CMAS 2 star rating so you will probably need a guide for the deeper stuff. (CMAS 3 star lets you do as you please).
If you are planning to contact the dive centres before you go be aware that a lot of French centres don't really "do" email. If you get no reply it doesn't mean they are not diving or there are no spaces, just that they probably have not read the mail in the last 3 or 4 months. (Things are getting better these days).