If the miles were credited to AY it'll be very difficult to reverse course. You could try taking it up with AY, but I'm not sure how helpful they'll be.

I have no idea what transpired behind the scenes, but seeing as there weren't any actual QR-operated/marketed flights I highly doubt it was their fault. I get that they're denying your claim despite what it says on the BP, but if the system shows the miles were already credited elsewhere, I can see why they won't budge.