Is the big sticking point about using the word "stealing" is that piracy does not involve a physical item being removed from the owner? If so then maybe we're talking more along the lines of "theft of services"[1]. Theft and stealing are often used interchangeably but I believe they do have subtle differences in their definitions. However, we do not have as many different forms of the word "theft" as we do for "stealing". It does become a bit more awkward to work the word theft into some sentences. Rather than saying "I committed theft of three albums", it is easier and (in this context) nearly as accurate to say "I stole three albums".
[1]http://en.wikipedia.org/wiki/Theft_of_services