This would make it harder for French users to find an alternative browser, making even more people will stick to the pre-installed Chromium based one.
Sad as it is, I think this is the optimal solution when it goes through. A lot of EU countries are against monopolies (France is not an exception), this way they would realize they are enforcing a monopoly and singular dependency.
I found this to be more informative: https://nitter.unixfox.eu/ercwl/status/1684939802083282944
Also check this if you want to understand the science behind zero knowledge proofs: https://yewtu.be/watch?v=fOGdb1CTu5c
Lots of people use their vanilla browser when connected to a VPN, this is not just for Tor, neither does it claim to be an alternative to using Tor browser or Mullvad browser.