Single factor authentication (ie password) is a people problem. If access to a site is granted by matching an identifier with one other piece of information, then it is the risk created by the compromise of those credentials that should govern how "strong" those credentials need to be.
Financial information? Strong. Personal Health information? Strong. Email? Depends on how interesting you are. Hardware store loyalty points? Meh.
The more important point from the article is this:
"In fact, research from Microsoft/University of California at Berkeley/University of British Columbia (paper titled Does My Password Go Up to Eleven? The Impact of Password Meters on Password Selection) found that indeed, password gauges do encourage users to concoct stronger passwords."
Warn/shame people that their passwords suck and they are likely to do better.
(And interestingly enough, mathematically a site that insists on an 8 character password with at least one each of upper/lower case letters, numbers and special characters produces less secure passwords than a site that insists on 8 characters that can be any of those.)