Well what I had imagined with the Private Companies would be kind of LS housing so we would have a comunal house and then have our own private room within the house. So we could decorate the comunal area with trophies from our NM kills and furniture, as well as a comunal storage that we could dump things off like craft mats so other members could pick out what they need. Then we would have our private rooms to decorate and furnish as well as storage for our gear.
Also not forgetting our Private Chocobo stables and Private Airship landing pad. Now come on SE make it happen.