Every letter you type into the address bar in Chrome goes directly to Google[0][1].
If they don't log everything you ever put into the address bar it is either:
- because of the goodness of their hearts (heh)
- because they haven't gotten around to it yet
- because the marginal privacy they could squeeze out from that isn't worth the complexity, storage and processing cost and the risk of getting caught red handed.
PS: If I sound annoyed, yes I am. There's no one you despise more than those you used to love but who betrayed you, right? ;-)
[0]: for autocomplete, but still true.
[1]: this is true for the default settings in modern Firefox as well, but there I can always easily flick a setting and get ny search box back. (Maybe you can do something similar in Chrome as well but I don't know as I only ever use it for compability testing and for websites that just doesn't work in ny other browsers, -and I only do that if I have to and typically after complaining to whoever I can get hold of, just like I did with sites that only worked in IE.)