However it's also important for those people with triggers to not hide behind them and to learn to overcome them.

Yes, but the way to do so should be handled by a professional, like you said. What happens the most on the internet is that anyone who mentions that certain things trigger them is immediately spammed with endless copypasta and jokes about "LE TRIGGERED LOLLOLOLOLOLOLOL I M LE ATTACK COPTER". And more than likely, that person will be sent the exact things that they mentioned trigger them, because the internet is a horrible place and gives praise to the most horrible actions.

I don't think anyone with triggers is trying to "hide behind them" other than the very tiny amount of people on tumblr who misuse them and that nobody would ever even know about if not for places like /r/TumblrInAction going out of their way to find, highlight, and declare "THIS IS WHAT ALL SJWS ARE LIKE AND THEY'RE COMING FOR YOU".

Yes, the world is a less than forgiving place, but that doesn't mean we should expect people who have experienced extreme trauma to just suck it up and deal with it. I spent time in a mental hospital and would've honestly beat the shit out of anyone who said that, because there were people there such as a woman in her forties who lost both of her daughters in the span of a year, with the last one dying due to a house fire she was in with her.

If that woman has trouble being around fire, are you really going to tell her, "Suck it up. Fire happens, and I'm not going to stop making jokes about dead babies in fires just to accommodate your little trigger thing"?