Sure, but if we're going to have any public property at all -- roads, buildings, parks, whatever -- surely we need some sort of democratic process to manage them, not "whoever has the strongest shovel gets to remake the land in their image"?
I can't just go out to Yellowstone with an axe and make myself a nice meadow to relax in, divert a nearby stream to make it more convenient, dig a big ol' cesspool and then scream IT'S MY LAND TOO! I mean, that'd make a pretty entertaining YouTube episode, but I would expect a small fine...