I don't expect this of anything else in my life. Why in the world would I expect the web to be safe?
To be clear: the only thing this is assuring is that your connection is secure. Your content may not be. Hell, the web server may not be. There's no way a browser can know these things. And they're going to assure the user they're secure by default?
Lots of phishing sites use valid connections to trick you into giving your SSN, credit card, and other data. This is not safe or secure. But the browser is telling me it is.