Short answer is I highly doubt it would work at all for your car.
I think the new button is standard on ALL 2013's. (I know SE's have it not just the Ti's). I don't think ANY 2012's had it (including the Ti's).
So on your car, the only way it could possibly work would be if Ford included all the circuitry for it, intending to add it, and then scrapped the idea until 2013 b/c the switch wasn't available in time.
It's theoretically possible, but not likely.