Earlier quoted context omitted.
All host info not accessible via X11 protocol is hidden, for example font list, is replaced with generic one. For even more protection, run VNC server with common resolution in the container and connect to it using VNC viewer. In this case firefox provides a super generic profile (latest debian with mesa GPU), making this browser very hard to distinguish from others. This has some downsides however: First, you cannot…
mullvad browser is pretty much this, but without messing around with containers. One fingerprint for all users, with the same font list, resolution, canvas behavior, etc. https://mullvad.net/browser
the container approach on the other hand is bog-standard firefox.