Not for security. For privacy, it all depends on your device name. Device name is the only way you have for others to know that's you, and there are some smart solutions for it.
Discussion
My device name is a invisible special character, it doesn't show up anything. But i still don't feel confortable leaving my Bluetooth ON all the time when i'm not using it (e.g. for listening to music or connect my mouse/keyboard).
Having a special character is even worst for your privacy. If you use a device name nobody uses, it can easily be spotted anywhere in the word. "John Doe's Macbook Pro" is a way better privacy wise name for your device (not the best one)