1. Entering a task under an Account or Contact, the only info that flows to Outlook is Subject and Due Date. It doesn't give any context regarding the regarding Account or Contact. In the old dynamics 365 for outlook, this was possible.
2. Updating the due date of a task doesn't flow to Outlook. All updates need to be made to both entities. Outlook and Dynamics tasks are not synced
3. Same thing applies for updating status or subject

Integrating tasks between dynamics and outlook is crucial to ensure all information is visible in both areas and tasks are synced appropriately.