The current situation is actually like that -- and has been for many years now. I'm not even sure when that change came in. As far as I remember, originally only the description was shown.
On my desktop it has entries like "Choqok (KDE microblogging client)" or "Amarok (audio player)" if I use the menubar style. And if you use the "application launcher" style instead of the menu style, applications are shown as an icon and two lines of text: in bold, heavy print the description and in light, smaller, gray print underneath the application name. And typing "Word Processor" in the search bar gives you a choice of word processors.