No, that's where the metaphor breaks down. I don't think there's a good equivalent of "public" in the facebook tracking situation. Instead, I would say that you are on someone else's virtual property, and that they are perfectly within their rights to watch and record whatever you do there and share that information with whoever they like.

It does happen without the knowledge of many people today, and the surprise when they find out what's really going on has led to a lot of backlash, but the solution to that is to educate people better about technology and what it can do, not to limit technology so that it can only do things the average person can conceive of.

I think I can see what you say about virtual property, even though I don't agree that it should all be logged, I agree that it would be public, something that any other user himself could track. So if they only see my activity within that property, than that's one thing, but once they get into my browser and gather information from it, than I think the boundary is oversteped, and they are now in my own property (my browser) and searching through my stuff.