As you know, I play too.

Does one have a right to an expectation of privacy?
I think that depends on the environment. On the internet environment, "no', I think, is the answer. This is essentially a party line. Anything one types should be couched in terms likely to appear in tommorrow's New York Times lede.

However, rookies to the 'net should be sternly warned that that's true, I think, the concept of 'partyline' not being contemporary for those under 50.

Specifically, in the case of google logging and retaining personally-identifiable info vis-a-viz search phrases (see this thread), I don't like it.