"Anyone in the know: what would it take to implement a "container over tor"? I am not currently a tor user, but absolutely would if I could integrate it with my current workflow (using the temporary containers addon)."
This is my every-six-months wish/rant on this subject ...
What we need is the ability to 'jail' a GUI browser process.
It is too resource intensive to spin up an actual virtual machine to run a browser window/tab. However, a facility like 'jail' (or zones or, perhaps even Docker) that simply chroots a new process with its own network interface, etc., does not have any of that expense.
It really is just a fancy chroot and the expense is limited to the overhead of just the process you're running.
If you could 'jail' a GUI application, you could have a browser window that was not merely its own cookie domain or history domain, but that was on an entirely different network and it's own chroot.