But such unstructured bunch of emails is hard to manage, if any subset is to be handled over to another person or to be archived in some other environment. Furthermore size limitations for the inbox will force you to get rid of something earlier or later. And there is no fun in going through thousands of emails from years ago. Therefor I recently started to at least using a rough structure of folders for archiving (all mounted as sub-folders of Inbox and therefore searchable at a glance).
Some categories (ToDo, Waiting for result etc.) I'm realizing by categories in Outlook. This is quite handy to follow-up as search-queries for those categories and more can be pinned as virtual folders in Outlook.
However, I wish there were more tools in Outlook for categorizing emails while leaving them all in the same place. I'm not sure whether I ever will become an exemplary user of Inbox Zero or even reach this state.