If there are no differences then emacs should just show this in a message instead of popping up a window with not useful content.

Just a simple implementation with advices for the time being for those who prefer this:

(advice-add 'diff :around 'my-diff)

(defun my-diff (orig-fun &rest args)
  (flet ((display-buffer (buf) buf))
    (apply orig-fun args)))


(advice-add 'diff-sentinel :after 'my-diff-sentinel)

(defun my-diff-sentinel (code &rest args)
  (if (equal code 0)
      (message "No differences.")   
    (display-buffer (current-buffer))))