That's actually a pretty interesting question. I suppose that the position with respect to hearing is analogous to "visualising" and actually "seeing". Most of us develop, more or less, the ability to visualise a familiar scene, say the interior of a room known to us, or to construct an imaginary scene. However, this is not the same as "actually" seeing things, as we do in reality or in dreams.
Just as some people are able to generate the actual visual qualia in their minds, photographic memory for example, I assume some people generate actual aural sensations at will, as opposed to merely "auralising". Obviously I don't know this is the case, and neither do I see that such an ability would imply perfect pitch anyway. Presumably the possibility exists that someone without perfect pitch could "actually" hear a piece of music playing in his mind but, as in his reality, would not know the key.
As observers, we can only assess external results of specific tests. Person A can do such and such and person B cannot. It gives us no clue about the internal qualia of A and B.
I think this is a much more complicated question than it seems.