You do need to be living in a highly interconnected and "just-in-time" society to pull off the extreme version of minimalism.
Any disruption of your perfect delivery schedule means that you've gone from aesthetic minimalism to lacking necessities in an instant.
Having said that, I don't personally know anyone pulling off the extreme minimalism lifestyle.
In my experience, hoarding is much more common. I know a lot of people that have multiple cubic meters of stuff (their children's old clothes, toys, nice boxes, magazines etc) they will never use (they don't even know what they have) that they refuse to sell or throw away. That also seems very unhealthy.