I always feel this kind of article is like somebody jumping up and down shouting that they are the most important person in the world, what they do is the most important thing in the world and becoming really angry that some other people (i.e many mothers) don't recognise that.
Motherhood isn't some thing happening in the background while other people get on with the business of real life. Real life is about children, and teens, and retired people, and students and everybody else in between. Paid work isn't the entire real world while everything else is some kind of spectral sideshow experience.
If you can't sit and listen to somebody talking about children, be engaged by the conversation and participate, it is probably because you do live in some kind of fantasy land where everybody else is about your age and kids don't matter.
As for women putting pics of their kids as their FB profile - so what? It is just a thing women do when they have a cute toddler of whom they are rightly proud. When that toddler is 15, they will not be the profile pic anymore. And I have a dwarf in dungarees as my profile pic; I didn't know I was meant to have a picture of myself pouting.