This kind of thing is a subset of "intentional living" and "intentional communities", where one's life is lived as some sort of ideological point rather than the most direct route.

There's a hint that this might be rather like how some alcoholics have to throw away all their booze and refuse to ever have any in the house as a necessary step to recovering from addiction. People describe having an unhealthy relationship with their "stuff" and then take drastic action to end that relationship almost completely.

It's only really possible for single, childless people, but I think it's only easy to get into that bad stuff-relationship if you're living by yourself. Otherwise the stuff-relationship is subordinated to the person-relationship, and some balance is achieved somehow. Possibly through daily minor arguments.

For me, it seems unconscionable as I don't have a vivid enough memory to live without artefacts to remind me. What does the minimalist do if you give them a present? Do they feel themselves obliged to throw it away or at least re-gift it? Have they not been through the social ritual of being obliged to wear the sweater / display the item they were given lest it be a snub? Or is that what they're trying to get away from?