Thank you so very much Mr. Desper for such phenomenal stories!
It definitely has some sort of tack deal going on, but the trick must be in the recording process and not so much the instrument itself. Honestly, it's always reminded me of the sound on "Heroes and Villains", not that I necessarily think it's the same piano. I really don't think it's the Chickering, but I'm certainly not exempt from being wrong...I've just had a good record on this thread so far!
COMMENT to RS13: Given the H&V initial recording session (where Brian would add the piano), it could be a piano at Gold Star, United, Sunset Sound, Capital, or any of the other studios he used. So your reputation for keen ears is still good. ~swd