I think the Chatterbox's threads should appear in today's topics. The Chatterbox is the only medium for us normal members to have light hearted chatting (Which we cannot do in General Discussion). Since these threads don't appear in Today's topics (Which many people browse), they generally get missed out by the members. Earlier it was OK for these threads to not appear cause of high member activity but now that's not the case.
Also, I have seen the Chatterbox being used as a dustbin where completely irrelevant threads are moved (Enough for me to facepalm), such threads should be out-right thrashed cause they serve no purpose.