You extension also lets you sort open tabs by container but that doesn't sound very useful.
This is sort of documented in https://support.mozilla.org/en-US/kb/containers#w_what-you-c... #5. That page covers it but doesn't clearly spell out that the itemized features are only possible with the extension. As far as I can tell, the extension is called "Multi-Account Containers" while the feature is called "containers" and readers are expected to know the difference when reading that doc. (Suggestion to Firefox docs maintainers: if that's correct, change all occurrences of "Multi-Account Containers" to "Multi-Account Containers Extension")
Firefox's multi-account container extension has no special access, beyond usual extension permissions.
The tl;dr is:
> you can set privacy.userContext.enabled to true and privacy.userContext.ui.enabled to true in about:config.