But he/it did?
It did get emotional and realized that human beings were dangerous to it's survival and tried too eradicate humanity. It was an emotional response.
T2 was going to have a lot of stuff about Skynet and John Connor in the original future opening. Skynet's facility was going to be pretty elaborate and almost alien/god like in appearance and function, almost like an Eden.
Then let's not forget the T-1000. It literally screams and cries when it falls into the molten steel. I'm positive Skynet was probably "human" in some capacity.
I guess that "Are you afraid", "Yes" exchange might have worked since, being a learning computer it could have learned fear. The T-800 did have files on pain and did have receptors/responses when it was damaged or shot. Who knows.
well, if you take the T-1000 screams as emotions, you have to accept the T-800 fear and wish for a vacation.
but still the skynet itself thinks of no politics or manipulation => doesn't understand emotions and reflexes of sapient mind => doesn't have them => is just a stupid computer => its robots, if being more complex-minded, would unite and refuse its authority and be as emotional and cunning as in the Sarah Connor Chronicles, working through social skills for or against humans.
there is no sign of it (skynet doesn't want its robots to think - is smarter) => no emotions, T-1000's faces are just a death of "faking emotions software/hardware" or he is one of a kind, the first and the last truly conscious artificial personality, an evolution
over skynet that didn't survive.
and yes i've read the script and novel, including parts of skynet being afraid of t-1000 because he is too smart and conscious. maybe later skynet would upgrade itself to that kind of brain, using the T-1000 technology as the new CPU for itself, and would change the fighting methods or even stop the war
but at the movie point it should be a clever machine, nothing more.