I have been practicing meditation for years. I've studied different types of meditation, so at this point my personal style is totally eclectic. I couldn't give a name to it. I just took different things from different styles that helped me and worked for me. Based on my experience, I would say that position is important in respect that the spine should be kept in proper alignment. Other than that caution, different positions can work.
I have also heard that to be a "complete" meditator, you need to practice a martial art. Same for martial arts: to be a complete martial artist, you need to practice some form of meditation. I have found that to be true for me. Each has helped me with the other.
In Good Practice...
Jim...
www.nothing-works.com