I think there are certain strokes you perform with a western that are not possible with a kamisori. Your example of the WTG pass on the wrong side - Jim overcomes by going straight for an XTG.

I really don't see the point - regardless of tradition - and taking Glen's remark about changing the angle, if you have shaved with a beat up old razor you've probably got enough technique to manage the angle difference on two sides of a kamisori.