This is a horrible comparison. Browsing history doesnt show the contents of the page. It doesnt show you what you were doing on that page. It doesn't reveal anything other than you went there and maybe how long.
Well, on old school sites where there are static pages each pointed to by an unique url, yes it does show the contents of the page :)
Publicly available content, yes. But not the content entered by the user themselves (security question answers, for example), and not contents behind a login, which is usually the case for sensitive information. Screenshots capture them all.
It's like the difference between sniff https and http traffic