In the new era of transparency, do you still have an assistant writing your letters and then adding your electronic signature from a generic, or worse, a do-not-reply e-mail address? You might as well just start deleting people from your distribution list, rather than end up in their auto-archive filter.
How about research? Are you like Tim Conway's classic executive calling Missis-a-Whiggins on the intercom every time you need a reference source? Have you ever gotten this amusing link sent back to you? (Probably not unless your admin is in the habit of testing your sense of humor.) Hyper-delegation often has a way of making you look unprepared and hollow when there's a follow-up question.
What should your admin be doing? Well, particularly if you're sending out e-mails to thousands of customers, prospects or employees, there's a great value in getting a critical review. The CEO who "announced" an acquisition that took place two years earlier could have surely used a second pair of eyes before it went out to all of the acquired company's employees, as well as the (literally) thousands of others. The school principal who makes routine spelling errors in his updates surely amuses some sharp-eyed students, but not necessarily the members of the PTO.
Just a reminder to take your communications seriously - and make them real - if you expect people to read them that way.