there are no wires at all coming out of the ring antenna.. the wiring harness is on the bike and you unplug it from the antenna, so that theory is highly unlikely, and if it was a broken wire, the second antenna would fail just as soon as you wiggled the wires a bit.
I did decide to err on the side of caution and did buy a spare for my long distance trip this summer to the west, not that I'm going to be out of touch with civilization, but just in case it happens, I can get myself going right away. The spare plugs into the existing harness which I would unplug from the stock antenna, I'd insert the spare key into the spare antenna, start the bike, and ride off.. should this ever happen to me, but given the highish miles on my bike now, I doubt it will.
ADV decals, patches & flag? Here