Is there a plan to have some of the notifications to users in Lighting Experience be updated to what they are in Classic? For example, a user creates a Case and the user does not have access to the Case anymore. Here is what the user sees in each experience:

Classic

Case Successfully Saved.

The case has been successfully saved and assigned to the appropriate user or queue according to the active assignment rule. You no longer have access to view or edit this case.

Lightning Experience

Looks like there's a problem.

You do not have the level of access to perform the operation you requested. Please contact the owner of the record or your administrator if access is necessary.

In Classic, if you are an end user, I know exactly what happened. I created the Case, but no longer have access to it. No big deal. In Lighting, if you are an end user, it looks like I just did something really bad!