He's got a point, which it looks like you are misunderstanding.
Simply stated: if you hold the handle in your hand, and put the tooth of the pick on a tiny little edge of rock, or touch it to the ice, the tools line up in the Tvash method rather than the Dane method.
Your second pick shows the tip of the pics not aligned. It would be more accurate to show the tips of the pics in the same place, the grips in the same place and derive orientation from that.
So it would seem that this (Tvash method) is the most accurate way to compare them.