Digital (or 'automation' as the OP calls it), in its nature, sits better with the ethos of Pop Art (early postmodernism) than film does. Pop art is a movement out of which colour art photography and conceptual work as we know it was born, some people should remember. Modern art photography, as a concept made famous in the 70s, is a part of the postmodernist ideology. Postmodernists have always had a penchant for 'mass production'. So yes, in answer to the OP - as most fine art in galleries today is postmodernist, if it's automated it probably is fine art.
But here's the crux. People who really appreciate art know how slippery, inconclusive and misconceived the term 'fine art' has become (as evidenced by this thread); which is exactly why, as blansky pointed out (in the first response no less), it has found its home in marketing.