Just to sum up on the definition thing, here's my take on it. Yours may well be different.
Suppose there were someone on this forum who, through several threads, had espoused the position that life is the result of an indwelling of divine spirit.
(And I know this is not exactly analogous.)
And suppose this person started a thread asking "Are you alive?"
My answer would have to be "Yes", regardless of whatever was going on in that person's head, because I cannot answer "No" or "Maybe" or "I don't know", since the fact is, I am alive and I know it.
Asking for a definition of "alive" would be a derail, not just because I do know I'm alive, but also because I know that a seamless definition of the word cannot be had.
Now, if the OPer were to follow up with some flawed logic based on the "infusion of the divine spirit" definition, then that would be the time to deal with it.
That's how I view the question in the OP.
When asked "Are you conscious?" my only honest answer can be "Yes". It can't be "No" or "Maybe" or "I don't know" because I actually do know that I'm conscious.
As for p-zombies, if they are different from normal human beings (that is, if they are what they are normally taken to be -- beings with no conscious experience who nevertheless behave the same as conscious beings) then I'm not one.
If they are the same as normal human beings (because, say, p-zombies are defined as not experiencing "qualia" and the term "qualia" is flawed or empty or some such, or for any other reason) then I'm a p-zombie and I'm conscious.
Either way, I'm conscious, so there's no reasonable and honest means that allows me to answer anything but "Yes".