I think the best question to ask first is ‘what kind of server?’

A web server could run a reasonably busy low-tech web2.0 blog site on a phone, I think without breaking a sweat.

Other types of serving (media, especially) would be resource limited) maybe not.

And there is an important difference between ’novelty’ and ‘demo’. Even a novelty server can demonstrate new ways to think about tech. Maybe an author could host their book launch on such a setup, serving only a single file and showing that we don’t exactly need to involve Amazon. That’s where my head goes when thinking about these efforts.