This is confusing. The UK Gov website says:
All travellers
All travellers should familiarise themselves with the entry rules for France before travel.
From 1 August 2022, all COVID-19 travel restrictions for travellers to France have been lifted. The rules that previous applied to travellers coming to France no longer apply:
you are no longer required to present proof of vaccination
you are no longer required to fill out any forms prior to your arrival in France, such as a justification for travel or a sworn statement
you are no longer required to show proof of a negative PCR or antigen test upon arrival in France
This also applies to travel between metropolitan France and each of the French overseas territories.
Similarly, no travel justification is required by the French authorities to travel to another country from France.
We, like several of you, will be entering France on a private bus from Genoa.