Less and less though, outside of when I’m working, that connectedness is mostly to information rather than people so the distraction is controlled. I don’t consciously try to unplug unless being connected is getting in the way of other things I deem more necessary.
As a rule I unplug when I travel save for directions/reservations/weather that kind of thing. I don’t take/make calls, texts, emails unless they’re directly related to my trip and I apply a similar principal to business related things outside of work – both are stances many co-workers find unsettling or downright unacceptable.
Distraction in conversation doesn’t happen too often, rarely is something so urgent that the person in font of me matters less than the person trying to reach me. If others feel differently that’s their prerogative.