There's no functional difference between "not looking at it ever again" and "deleting it".
You should understand when they say "delete" that they mean "remove from their queue", whether it still exists in an "archive" folder, backups, trash, ... is irrelevant.
You should understand when they say "delete" that they mean "remove from their queue", whether it still exists in an "archive" folder, backups, trash, ... is irrelevant.