Inside edge of the right ski would be the left edge. In a wedge turn you use both inside edges or, in PSIA speak, opposing edges. A parallel turn uses one inside and one outside edge, or corresponding edges. I know that you know what you mean.
Inside and outside in turns refer to the skis. Inside and outside on the skis refer to the edges.
You could have an A frame and still be on the correct edge. An A frame results from one ski, usually the outside ski, being edged more than the other. In PSIA we like to see both skis edged simultaneously and equally. In the real world we see some very high level skiers, Lindsey Vonn for example, who use high edge angles in their turns showing an A Frame on some turns.