Fair enough. In this case though, I'd argue that I contacted the relevant hotel, explained the situation and with their blessing, my +1 checked in and consumed the stay as per the original plan. So, I provided full disclosure to the hotel in question and they cleared it.
And if this is the game they want to play, I'll be arguing for the AKL stay to be credited as this is the most lucrative of the two. That aside though, I'm interested as to how they can possibly prove that you haven't stayed in a given hotel (short of trawling through CCTV). As per my earlier (absurdist) argument, you're not a prisoner in hotel A, so it's impossible to suggest that you couldn't also be using hotel B.
