This new study doesn't necessarily illustrate a causal link between wind turbines and localized warming, let alone temperature change on a global scale. The authors of the Nature paper were the first to admit that further science is needed to determine that exact nature of this link.
If it were true that the spinning blades of wind turbines increased the overall temperature of the planet, as opposed to simply redistributing thermal energy, we would have to rewrite some basic laws of physics, particularly the 2nd law of thermodynamics. This is an important distinction from the burning of fossil fuels, which produces gas that increases how much of the sun's energy the Earth retains. In this respect, this process contributes to a globally warming climate because the source of energy (the sun) is apart from the system that is warmed (the Earth.)