You took that idea to the logical extreme, dude. Nobody is saying that if you have even a little free time, you should be a polymath. But if you don't have time to learn a little something new (especially something that relates to the career field you plan to spend the rest of your life in), you either find the time, or you'll find your career stagnating before you know it.
Also, stop being offended by every comment that doesn't agree with yours. fit2rule's comment could be considered a bit presuming, but it is neither nonsensical nor condescending. On the other hand, your comment is both of those things.
Funny, I find that I like having a bit of time here and there to think -- not running around "being social," not spending time on assigned work. I wind up doing those three things better after some time to sort things out in my head.
Of course, I could be doing things wrong. Who wouldn't want to have every waking hour consumed by other people?