What information obtained through using the four models (T/T of Identify Stakeholders) is included in the Stakeholder Register?

On page 396, the PMBOK covers four classification models, and the depicts the Power/Model grid on page 397 (leading me to believe the responses of Manage Closely, Keep Satisfied, Monitor and Keep Informed) are important responses. But on page 398, the PMBOK only mentions including identification information, assessment information and stakeholder classification (internal/external, supporter/neutral/resistor) in the Stakeholder Register. So where does all the information of classifying stakeholders by using one of the four models get documented/used?