He's being extradited to France, which probably has less bias, but still a bias. I doubt the US will get involved behind the scene in France, because they've phrased their reasoning for the heist as btc-e's users were money laundering, so even if he is found innocent, the US still gets to keep the money and not look bad.

Russia may have a bias, I'm uncertain. I'm not sure how happy Russia was about btc-e. BTC-e may have been in the Ukraine, but Russia implicitly requires neighboring countries to follow Russian law. Did BTC-e break Russian law? I have no idea. But because he is not being extradited to Russia, we'll probably never find out what Russia thinks.