Fred,
I am starting to see more than a few experienced doubles shooters taking right bird first at all stations. I have not kept up with what the top shooters in the south are doing but I have heard that there is a trend toward right first.
I've seen it too, but it's not the top shooters doing it, it's the new ones. The top doubles shooters are already hitting 99's and 100's.
When I shoot singles, I consistently hit the hard lefts more solid then I do the hard rights, but that's singles, and that's me. In doubles, when I shoot the left target last, I tend to "look" for the bird, and that moves my head enough to cause a cut in half bird or chipped bird results. And when I move to my right for the second shot, and I look for the bird, I stay on the stock. Which results in solid hits. It's just what works for me. To each his own.