Huge difference man.

Google's business is not centered around providing pirated material. The fact that it happens is accidental.

The pirate bay, on the other hand, (as clearly suggested by its name), does infact center around providing access to pirated material.

Not really; it centers on providing access to material that it's users want (except certain categories, e.g. child pornography). The fact that it's mostly pirated content stems mostly from the fact that it's prohibited almost everywhere else on the internet.

But, your point is very important in a legal sense - a simple, but effective way to build a better TPB would be to center it around some other cause, and have it accidentally be used for piracy.

Like bittorrent :)