Over the course of your life, if you experience mental health problems, your thinking, mood, and behaviour could be affected.
Shipping is a predominant way of engaging with fiction now–and it has a great impact on contemporary literature, film, and TV.
You are shipping a couple if you really, really want two fictional characters of a TV show or film franchise (or any other serialized narrative) to have a romantic relationship.
If the shippers burned their DVDs and merchandise, this did not really influence the show’s revenue.
The writers noticed this and turned the narrative in a way that lead the shippers along with the usual will they/won’t they play.
The shippers became more and more vocal and more and more desperate.
To stick with the Barney/Robin example, you can have some taste of this from this shipping site, where you can find all kinds of delicacies, from the analysis of the symbolism of the trenchcoats of the two characters to the hidden visual message about the love of Barney and Robin in a blue and yellow trashcan.
Clearly, a lot of mental and emotional energy is spent on this. If you want Romeo and Juliet to end up together, is that shipping? What I take the main characteristic of shipping (and a somewhat frightening thing about it) is that all other considerations are deemed irrelevant compared to the interest in getting the shipped couple together.
Fandom and shipping is community more than it's anything else, and I don't think this article makes that clear.