I might be wrong but most people who live and work in Paris don't drive. They have great public transit and there's a huge walking culture. When I was in Paris the only large vehicles I saw where taxis.
Hopefully the next step is to just...not have parking spaces that big. Make sure there's just no way to park the thing anywhere in the city, that could actually make a difference.
Your impression seems correct. I haven't manged to get to Paris yet, but the numbers I found align with your experiences. From a transport in Paris article:
"Paris has one of the most sustainable transportation systems in the world (private cars are only 12% of the overall traffic)"
"According to a 2018 INSEE survey, a majority of Parisians (64.3 percent) use public transport to get to work. Only 10.6 percent commuted to work by automobile. 10.5 percent walked or used roller skates; 5.5 percent commuted by bicycle; and 4.4 percent commuted by motorbike"
The local residents use public transit or walk/bike for work. They likely do exactly the same for daily errands, shopping, and entertainment. That's how it was in Berlin, London, and Helsinki when I was in those cities and it's wonderful.