Ran into this in yesterdays game.
My baratheon opponent used his painted table so that the next trigger would be cancelled.
I did a Military challenge to my opponent and first triggered my carrion birds (cannot be cancelled) and after that I triggered my syrio forels response of going back to shadows. Now the question is will the painted table try to cancel the carrion bird response even when it cannot be and then just fade away doing nothing or will it "see" that the response cannot be cancelled so it stays at the background and will cancel the next legal trigger (in this case Syrios response)?
We thought about this for quite sometime and ruled that it failed in cancelling carrion birds response so that Syrios response was not cancelled.