Technically the field "lastConnectedServer" in the registry will be populated for the host that had the agent running while being isolated but the DNS entries in production DNS are still needed even for this hosts.
On the link you shared there are two scenarios, the first one technically replaces the registration through the portal and does it via the agent, more like a friendly UI for rouge hosts that have the agent previously installed. This will happen if there is no EPC configured.
The 2nd scenario shown in guide: "(Persistent Agent installed via Captive Portal-Assumes network under enforcement)" assumes that there is an EPC that handles rouge hosts. It will automatically download the selected Agent to the end host:

and than as shown in the previous reply based on the Scan options it will Remediate or Register the host.
As I know "Enable Registration" without "Register as Device" will try silent registration of the host to the current logged in user. If the currently logged user can't be found in the LDAP server, than the PA will pop up for credentials. Using "Register as Device" will register the host (without a user) regardless of the logged in user, so no verification will happen with the authentication server. A passive agent rule can be added to populate the "Logged On User" field in this type of hosts to be later used in UHP.