bookworm,
I have dug a little deeper and found a book that confirms what you say, that the command sense doesn't change on the missed approach, which means that RANT can't have been programmed correctly for the missed approach indication. However, this is the first fault I have found with RANT, and I still recommend it to anyone wishing to sort out their needle work - also, the version of RANT I have is rather old so the newer version may have the correct indications in it.
Cheers