I looked a bit more into the importance of government record-keeping in France. Turns out, "civil registration" of births, marriages and deaths is quite a big deal there, in part because during the French revolution in 1792, one of the ways the new government established its authority and destroyed the previous hegemony of the Catholic church and clergy was by wresting responsibility for recording major life events away from parish priests and making the recording and keeping of "vital records" the job of the new French republic.

Civil registers are the vital records made by the government. Records of births, marriages, and deaths are commonly referred to as "vital records" because they refer to critical events in a person's life.

The "vital records" kept by the government in France are known, and prized for, their accuracy and detail. Birth and marriage records give much more information about the parties involved than in many other places (such as the USA, where my own such records are from).

Traditionally, French birth records have contained the following:

the child's name, sex, date and place of birth, and the name of the parents, including the mother's maiden surname parents of a single mother The records may provide additional details, such as:

the age of the parents, occupation of the father, or place of origin of the parents

Moreover, traditionally in France

Births were usually registered within two or three days of the child's birth, usually by the father, but sometimes by a relative or friend, especially if the father was absent.

When a marriage is registered in France, info about both couple's mothers and fathers - and sometimes their grandparents too - is recorded. French marriage records contain, amongst other info:

the birth date and birthplace of the bride and groom their parents' names, including mother's maiden surname. if the parents have died, their death date and death place are recorded. more recent civil marriage records may even include the same information for the grand-parents usually four witnesses listed, with their age, occupation, residence, and relationship. the complete birth information of the couple's children who are born out of wedlock

Death records in France traditionally have included the names of the decedent's mother and father (including mother's maiden surname), and whether or not the parents are also deceased.

What's since 1877, there's a practice of married couples and families keeping civil registration booklets (livrets de famille) that the civil registrar fills out and gives to each couple the registrar marries.

This booklet includes an extract of the marriage record and references to the marriage contract. The couple was responsible for taking the booklet to the registrar as each of their children was born. The registrar would update the booklet with the child's birth information and return the booklet to the parents. The registrar also recorded deaths in this booklet. Families keep possession of their family civil registration booklets and often hand them down to their children.

So in this case, the TIM father really is trying to challenge the authority of the French republic and government in a fundamental way.

What's more, he's trying to make sure not just that the lie that he is his child's mother rather than the father will follow the child throughout his/her life, but that this lie will be repeated, re-recorded and further memorialized on the vital records not just of the child's birth, but of the child's own marriage(s) and death too.

Which IMHO is incredibly cruel to the child and shows that the father is on a power trip trying to bend reality to his will, and has not one ounce of concern for the mental and emotional wellbeing of his child. His aim isn't just to rewrite the history of his child's birth - he's trying to have the last word on other major events in this child's life history that haven't happened yet.

This is a naked, outrageous attempt of this man to exert patriarchal control over his child that the child will never be able to escape.

Finally, the "vital records" in France are all automatically digitized and made part of a national database that eventually is put online and can be easily searched. So at some point in the future, this child's birth certificate will become a document all the world can see.

https://www.familysearch.org/wiki/en/France_Civil_Registration-_Vital_Records#General_Historical_Background