It's certainly in Apple's interest that this pass. Less piracy -> More iTunes customers. More iTunes customers -> More iOS devices sold. More iOS devices sold -> More profit for Apple.
These bills would also allow someone to demand the takedown of the entire iTunes store over a single allegation of copyright infringement in a single app. Consider how much trouble they've had with patent trolls in the past.
Wouldn't they be liable for every song, every photo, every video, every document their users store? Maybe they've got songs (mostly) covered via the agreements for iTunes Match, but the rest seem hard to pull off (especially since, IIRC, taking a picture (or video) of a copyrighted painting, sculpture, etc. can be infringement in some cases).