I too have always been a one eye open shooter. That is just how I learned and it has always worked. I tried it the with both open before and I truly did better with one, so I stuck with it. I have always been a really good shot so it seems to work for me.I know that alot of people think that there is only one right way to do everything but I have never believed that. I know guys that have very weird styles of doing many things that are very successful. Look at the way some NFL QB's have an unorthodox pass delivery, but threw their way into the HOF.
In one of Randy Ulmers articles I read he said that their is really no totally wrond way to shoot, as lond as you can do it consisitent time after time after time. And I believe that. I am not a golfer, but in the golf leauge where I work, there is one guy that they always talk about that has the goofiest stance and way he hits the ball. They say that it is hilarious to watch, but he is the guy laughing the most when every year he is accepting his first or second place award for the year.