... you are probably taking the OP's statement out of context.
You say that things would be used as one sees fit and not "all the time." But in a communal situation, once one person finishes using something, someone else will use it.
Things would not LITERALLY be used "all the time," but close enough to make the point.
Besides that, in a true communal situation, there would be very little property to use anyway because there would be no incentive to produce anything beyond the very basics.
People would pitch in to build huts and grass skirts, but other than that you would spend your time finding food, not debating the concept of rights.