The study wasn't about who cares more about looks. It was about whether women or men agree more about who is good looking. Caring about a trait and agreeing with others on how to measure it are not at all the same. For example, virtually everybody cares about listening to good music, but nobody can agree on what good music actually is.
That women mainly want high-status men manifests itself by a pretty flexible view of physical attractiveness. I wouldn't be shocked if women thought that the most attractive men were similar in appearance to whatever alpha males they most admired.
looks correlate directly to reproductive fitness for women, status doesn't necessarily correlate directly to looks for men. therefore male preferences are more uniform than females.
