Google already stores your browsing history in the cloud if you're signed in, which most users are. The "keylogging" wouldn't really add any value to the data,

Google already stores your browsing history in the cloud if you're signed in, which most users are. The "keylogging" wouldn't really add any value to the data, and thus I don't really buy that cost. If you're not logged in, as I'm sure FSF people are, then this is a much bigger deal, but it doesn't apply to the vast majority of people. All that said, the keylogger would take a good deal of interpretation to get a complete or even partial history, since autocomplete choices would likely be chosen anyways, not fully typed out URL's. If they send that history anyways on any time you press enter, the autocomplete feature again doesn't matter because they have it with our with.