When working with delegations it is very difficult to see what has been delegated to you in the new home experience, you have to know the name of the task/request that has been delegated to you to see it.
This feature is important as it is used in the "current" home screen experience but has not be transferred over to the New home experience. As this feature is used by people who are going on annual leave and delegating work items over to other people they need a seamless view of the new work they have been given. It is not best practise to have to switch you home view just to see your delegated work items.
In the My work, My tasks, My Requests widgets there should be a filter on there for "Delegated to me" & "Delegated by me" This would allow users to easily see these work items as they would in the "current" home experience.
In the current behaviour there is no such filter in the New home experience, users have to switch back to the "current" home experience to easily see their delegated items.