I contend that the percentage of what you refer to as abnormal cases is non-trivial. I would argue that the ability to ignore harsh remarks is the non-normative example that should not be generalized to the entire category. For you to make your claim based on what I can only assume is a sample size of one male is intellectually lazy. In short, yes it does.

I agree that anyone can learn to ignore mean words. However, the overwhelming example from public discourse suggests this is not a common skill shared by most of what society considers the emotionally mature:

* Olympic Swimmer, Bronze Medalist, Rebecca Adlington. surely she's dealt with pressure and has attained a high level of mental fortitude:

    "I did get upset about it. I couldn't get my head around why someone would go to the effort of looking someone up, and then sending them a nasty tweet. I still can't really," she said. "What's going on in those people's lives?" 

Yes, she "learn[ed] not to take it personally" but it was just that, a learning process.

Source: http://www.theguardian.com/media/2014/jun/06/twitter-trolls-...

* Natasha Devon, reporter with the Telegraph

    I became extraordinarily paranoid, wondering if any of the women I encountered in the street or on public transport were my online nemeses. I would show girlfriends my iPhone on nights out and we’d spend the evening deep in speculation, just like we used to dissect the daily goings-on in our respective school lunch halls during our youth.

This is an adult women, emotionally mature, still rattled by words of people she doesn't know. Again, she learned how to ignore and let the words slide, but again it was something she had to learn after going to the police over it.

Source: http://www.telegraph.co.uk/men/the-filter/10887389/Some-of-t...

* Caroline Criado-Perez

    The judge said the effect of the abuse on Criado-Perez had been "life-changing".
    
    She described "panic and fear and horror", he said.
    
    He added that the abuse had also had a substantial impact on Creasy, who had had a panic button installed in her home.

Source: http://www.telegraph.co.uk/news/uknews/law-and-order/1020778...

* Professor Mary Beard

    Professor Mary Beard describes herself as having a thick skin. But over the past 10 days, during which the 58-year-old classicist has been subjected to a stream of vitriolic online abuse after an appearance on Question Time, even she has struggled to keep on an even emotional keel.

She overcomes, but even this professor with a lifetime of experience ignoring mean words cannot always just ignore them.

Source: http://www.theguardian.com/books/2013/jan/26/mary-beard-ques...

* Louise Mensch

    "It was abusive and threatening, making threats to my children and saying I would have to choose which one would die. I felt powerless and scared that my children had been targeted."

Source: http://www.theguardian.com/uk/2012/may/08/louise-mensch-trol...

* Lorraine Pascale

    Writing on her own account she told her 51,000 followers: “How is it that someone in the US is free to send me vile racist Tweets on a daily basis yet twitter does nothing to stop him?

    “Can’t keep quiet any longer. *It hurts too much.* RTs of tweets coming up.  He/she is US based. Pls RT to put pressure on Twitter.

    “Ps. Have blocked and reported him/her/it but they keep opening different accounts each time. Have also contacted UK police.

Source: http://www.standard.co.uk/news/crime/lorraine-pascale-hounde...

* Megan Meier, teenager driven to suicide because of mean words. You might argue that she wasn't "emotionally mature" but I would counter that if words were so easily ignored (just some coaching first right?) then why didn't the coaching she received give her enough mental fortitude to avoid suicide?

Source: http://en.wikipedia.org/wiki/Suicide_of_Megan_Meier

And these are just the incidents that are so huge that they register in international publications. Mean words cannot just "be ignored" by a large percentage of the population. And the abuse is from random people. It can be much more difficult when the abuse is coming from someone who used to be your friend, from family, or from people who know you well enough to know your insecurities.

Psychiatrists stress the importance of positive self talk because of how much of an impact words have upon us. People spend years in therapy overcoming the abuse others have wrought with their words. "Some coaching first" doesn't cut it.

You are either incredibly naive or so self-centered that you are blind to the point of being offensive. Yes, you can ignore them. I can ignore them. I believe that anyone can learn to ignore them given time. But open your eyes and have enough empathy to realize that it is not easy for everyone.