The way it worked is that the French government forced all major ISP to block some sites.

But using a third party DNS circumvents the block, so they went after them too.

Web browsers however (unless they include a VPN or 3rd party DNS) don't allow you to access sites blocked by your ISP. Same goes with ethernet and wifi cards.

I'm not saying I agree with it but that's the logic.

Right, but many browsers include a VPN. Tor Browser bypasses any such blocks. Many browsers also let you set your own DNS servers, so you could pick one that allows circumvention. Same at the OS level, and some OSes come with built in VPN clients. I guess I just don’t see how this stops here, unless legislatures step in to limit the scope. It’s an insane theory of liability that makes all steps in the chain liable for anything bad that end users might do.