score:5
As far as I know, it is not legally required in Paris and I couldn't find anything suggesting that it is on paris.fr or service-public.fr. From your description, it sounds like an AirBnB safety measure, not something related to the host or location. In that case, the host should not get a copy of your documents but AirBnB will indeed keep it on file. You can request it to be deleted but only after your stay.
When there is a requirement to collect such a document (e.g. in Italy), hosts typically ask you to upload a copy on a separate system or take a picture of your ID when you arrive. That has been my experience for multiple rentals in Italy (both on AirBnB and dealing directly with hosts) and I don't think AirBnB offers to do it for the hosts.
Note that, rightly or wrongly, identity theft seems to be less of a concern in Europe than the US and it is in fact relatively common for various apps or services to require a copy of your ID (e.g. car rental and other mobility apps, airlines, or banking and financial apps).