Why would I play Parallel City? The point is to OHKO everything with Keldeo, and lowering my own damage is basically contradicting myself, and the other effect is horrible, because half of the time, I need the space for Blastoise/Shaymin/Jirachi/etc. And Fisherman wastes my supporter and clogs my hand early game, where I want to burn my hand down to 0.
Sorry, I thought you could infer the logic behind Parallel City. The point is for you to discard all of your easy prizes (ex. Shaymin and Jirachi) and just leave all the good stuff in play. Rough Seas is a near useless Stadium in here. Tropical Beach and Parallel City are far superior inclusions.