The Crow TPB

My copy of The Crow TPB is a 3rd print so should a TP-C be added to Core (as well as a TP-B for a theoretical 2nd print).

On a side note are The Crow (Kitchen Sink Enterprises) and The Crow TPB (Kitchen Sink) one and the same? Both issue entries have the same barcode and the only difference is the addition of Now a Major Motion Picture to the trade dress (possibly for later printings). The GCD seems to bear this out as well saying there are 6 printings.

Phil.