Yes, and while no one would say an adversarial media relationship is a good thing for any politician, I think people who dislike Clinton and think of her as "just another Bush or a Clinton, a boring person getting by on her name and lack of male genitals" tend to underestimate how much it is part of her appeal as well. And not just the media, but all of her numerous enemies... it's what makes her a fighter, which is, to many of her supporters, her best quality. Ever since the American people were introduced to this woman by the name of Hillary Rodham Clinton, "no Tammy Wynette standing by her man", who muscled into an administration she was not elected to, and tried to manage a more ambitious health care overhaul than Obamacare (one with cost reforms as well as universal coverage) she has been a fighter.
Eleanor Roosevelt was a much better First Lady. There was some serious talk of Truman / Roosevelt 1948.
http://www.trumanlibrary.org/eleanor/1948.html