We are able to report our own consciousness, so it obviously has "classically" physical effects that can be measured.
Or do you belong to the school of "People talk about their consciousness not because of their consciousness, but from an entirely different chain of events that just happens to be accidentally correct"?
This is as equally inconceivable as p-zombies are conceivable (to some), therefore I can only conclude that there is some fatal flaw in the p-zombie argument, and so I dismiss the conceivability of p-zombies. Thus, the presence of consciousness must somehow be behaviourally distinguishable.