The "Task Inbox Only" domain right should remove the 2nd hyperlink on Notifications which routes to legacy task view
The "Task Inbox Only" domain right should also remove the 2nd hyperlink in Project Notifications (i.e. Task Assigned; Review Tasks; Reminders; etc.) Or even better, add "Task Inbox" as a Link Destination option on Notification Templates. It can be confusing to have two links and be routed to the legacy view when the customer is used to the Inbox view.
Customer support service by UserEcho