The original novel Blade Runner is based on, 'Do Androids Dream of Electric Sheep?' had robot animals - or 'electric' animals - as one of the featured things, as the Earth in the book was basically dying (since it was written in the 70's-80's, it was due to nuclear war), hence the title. 
The mention of robot animals, and the fact that the world is a bit of a mess made the connection in my head :3