It stores history though, go log into any site in incognito mode. It has the same problem your original post highlights, and is an example of a situation where your history not surviving a reboot would not be an issue.

of course it doesn't actively store history. it doesn't wipe the storage medium so may leave a trace, but that's different. if a browser says it is wiping then there should be proof of this, instead of the "just trust us" stance which the article rightly highlights as dangerous