Admittedly, that headline is a bit of a lie because saying that you don't watch television has literally never been cool. Ever. So if you claim to not watch television, please be advised that not only is no one impressed, but we're reaching the point where we actively wonder why you are shutting yourself out from the world.
First of all...what is television? That's a legitimate question in this day and age. What constitutes watching TV?
For instance, my favorite television show of all time is Doctor Who, and you can bet all rondels in TARDIS console room I will be tuning in at exactly 8 p.m. on Saturday to watch Peter Capaldi debut. That's not how I started watching the show, though. I started watching it streaming on my Wii through Netflix, gulping down five years of serial science fiction in roughly a few weeks. Was that watching television? How exactly is it different from all the documentaries and movies I otherwise watch through Netflix streaming?
Here's another question that Doctor Who helps illustrate. When the show is off the air, I often pick up books that continue the adventures. Am I still watching television, or have I graduated to reading? How do the radio plays fit in? In that last case, I'm hipsterishly enjoying an art form that predates television, yet it exists because of a television show.
That's the problem when you say you don't watch television in the age of Amazon Prime and Hulu; it is an almost completely meaningless statement because of the cloud-like nature of modern entertainment.