women saying exactly the same thing as a man, in exactly the same way, are perceived as mean bitches while men are perceived as assertive leaders Yes, I have seen those studies and observed the phenomenon in real life. Not so much in the past 15 years or so, though. The Daily Mail doesn't necessarily reflect real life 
I want to point out that aggressive isn't the same as overbearing. Aggression has its place (and is more criticised in women than in men) but overbearing/dominating/bullying behaviour is equally unwelcome from either sex. Many men have poor assertive skills, resorting to domination instead.
I definitely believe the best response to criticism is to find out whether they have a point! I somewhat believe that women who consider themselves 'strong' often are overbearing instead of being properly strong - that was true of me at the time I was criticised. (Still is sometimes, but I'm better than I was!!)