As a real estate brokerage we have many contacts (think lenders, attorneys and various contractors) that are shared among our agents (Users) and thus require an "Unassigned" status for HubSpot owner. That's fine in that everyone can access the contact, but ABSOLUTELY not fine that everyone can see every conversation. These conversations may contain private information.
We need to be able to assign multiple owners to a HubSpot contact and have permission rights flexible by owner. Ideally, even though the Contact is "visible" to multiple Users, each User would only see the conversations that included them. Ultimatley, without an ability to allow multiple users to "own" each contact and then only see their conversations, the value of the tool is significanlty lessened for us.