Facebook is highly efficient for communicating with a large number of "fringe" acquaintances.
Things you suggest - picking up the phone, dropping an email - require 1-on-1 contact. I am limited in the amount of time I can devote to 1-on-1 contact.
But I can post on Facebook and people that know me but aren't necessarily people I want to devote a lot of 1-on-1 time to - more distant relatives, old friends, etc. - can see what I want to share. And I can skim my feed and see what they want to share.
The level of time and contact is proportional to the relationship. They're not my inner circle, they're outer circle. Facebook is the single best improvement to my "outer circle" relationships ever invented. For low effort, I get to have some contact instead of no contact.
For some people, Facebook is all about the time wasting activities, but that's not the core of the experience unless you make it so.