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.