I do not think it is something that will work in practice, nor do I think it would be stable if it did.
Anarchy as in chaos and anarchy where "everything goes" Mad Max style, and anarchy as in a volunteer governance system of direct democracy with no coercive authority.
The way you wrote it "which is worse than all but the very worst governments, and from which IMO some form of government will emerge anyway.", implied to me the former.
If you meant the latter, I'd call it no worse than the "very worst governments" and likely better than even the best traditional governments. Whether it can be long term stable is debatable, but a different claim. In any case, what we have is neither that well working, nor that stable.
For the other, that's up for debate. They might just be replaced by misery on the current trajectory too.
No government at all can just imply anarchism, ie. a kind of self-governing that doesn't ascribe to our conventional ideas about government, presidents, pms, members of parliament, senators, etc.