I'd disagree with this. Otherwise what good are you if you aren't "the person who does X?"
Is there someone out there who thousands of people explicitly only want to take a coffee break with? I mean I want to have a coffee break with a lot of people, but not cause they are good coffee drinkers, but because they have made significant progress in some thing I care about.
The two things you describe as the core of what people are are effectively a therapist (the person who [communicates]) and a moving company (the person who [you ask to help when moving]) respectively. Otherwise those are just regular friends...not "connections." Outside of the scope of this article.