I feel that the only reason you don't like any of these words is because you don't want copyright infringement painted in a bad light. It's a bad thing and it does cause software developers to eventually lose business, the words we use to describe it aren't going to change that.
No, I'm just pedantic. I don't do copyright infringement; as a developer, depending on copyright for my living, I hold that it would be immoral.
By this definition, "brand-name" shrinkwrap software that you bought cheaply in SE Asia that has suspiciously poorly-reproduced covers and instructions might be counterfeit (because the purchaser might be misled into thinking they're getting an official edition), but most p2p piracy is not (because there's no discrepancy between what the recipient gets and what they think they're getting).