I never got distracted trying to calculate the distance their light had travelled to reach me or the time such a journey took; not because I didn't appreciate the math needed for such calculations but because I was so self-absorbed that lesson was lost on me.
Rather, I tried to place myself in the universe. I think (hope?) to some extent we all do that. For me, life is perhaps best defined as figuring out where I belong in a world where everyone else, consciously and unconsciously, is trying to do the same thing.
I think our efforts just became far more difficult but also way more wondrous.