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The whole universe of Blade Runner is contradictory for starters. "Empathy test". Are you saying that Batty wasn't genuinely distressed at the death of Pris? Tears in rain? Replicants were built to adapt and develop their own emotional responses, and they do.
If anything, Deckard is teetering on being a stereotypical robot, although he is human, and that is what I feel Blade Runner accomplishes. It paints Deckard as a bit insensitive, or, very insensitive to some things. He's been hardened. But his evolution to emotional boil is parallel to those of the replicants in the timeline depicted in the film. Batty goes from sinister to sentimental. Deckard goes from cocky to reflective, as well.
It's the humanity that is displayed between humans and replicants that is the important component. Humanity able to still flourish amidst the decaying outside world.
Blade Runner is riddled with inconsitencies and contradictions, but as the old saying goes, "truth is spherical".