I'm pretty sure that statistically it *is* the most common bike-car accident, with the possible exception being path-car accidents. Most of those, too, would be right-turns, though.
In my effective cycling course we discussed trying to plant ourselves a little further out in the lane - in the middle third - to make it harder for a car to be right along side of us.
I knew this was a weird town when I stupidly found myself in a right turn lane, with four cars piled behind me, and I wanted to go straight, and the light was about to turn... and the driver rolls his window down and says, "would you like to go ahead?" I thanked him and bolted through...