I certainly never said Google could crawl my website, and I would be surprised if the presence of a robots.txt file is written into law as a requirement to prove you didn't want them on your web properties.
I feel like this must have been hashed out in lawsuits already, probably against search crawlers.
IANAL and so on.
Publicly accessible =/= You having the right to do whatever you want with something.
If you want more info about the case you should look for the "affaire Bluetouff*.
The internet is closer to leaving your own journal open at the library or a magazine store, and people going through it. You made it available for everyone to peek at in a public space. Maybe you didn't intent to leave it there, maybe you didn't intend to make it visible, but you did.
also, hoovering up all available data on the net does not make them any less private