Hi Pete. I hadn't heard of the inhale on the rising right hand. Thinking about it I suspect I do it with the rising left. Since I start this exercise with the inhale and the rising left.
That said I have notice that at times my breathing will sync with the other hand, and later be in sync with the left again.
Lighworker, I don't think this is a "so vital" issue. It's just one of the elements in the good, better and best practices. Master Lin stresses what he thinks are the key elements to a good practice... all six of them. 
You are perfection.
Iam2 