If it's a possession-less society and everything is provided by the great replicator gods, then you don't really own a private home. Why couldn't anyone just beam in anywhere?
It's not a possession-less society, it's a money-less economy. Two different things. For example all the stuff in Picard's quarters belongs to him, but he didn't neccessarily pay for it. And privacy is still a right for everyone.
In the novel Enterprise: The First Adventure, it's forbidden to be able to beam yourself into historical preservation areas like Yellowstone National Park or Banff National Park, because it would disturb the peace and tranquility of the place (presumably except in an emergency). For that reason, comlinks are also forbidden.
As bitchy as I get about cellphones in theaters and some other places, natural parks are a area where comlinks of some kind should be required by law.
As long as the common citizens have access to transport inhibitors (so they can prevent people beaming into their private homes and moments), I'm okay with that.