Thanks. So I presume then that if you set the C-plane at the club lie angle so that the head and shaft rest on the plane from start up to the halfway point, then it would be a mistake to try to keep the shaft on the C-plane from halfway point to End (because you are shifting to a steeper plane). That is one of the things I was not clear about, and without your reply I would have just thought that the goal is to keep the shaft on the plane for the entire backswing and downswing.
Also, in the Hogan book I recall he said that the downswing plane is flatter and points a bit right compared to the backswing plane. That is another issue that I am not clear about, as TGM doesn't say that the plane line changes as far as I am aware.
There would be no mistake of swinging the club on a single plane with zero shift, it is just not common and most players are not capable of this. Ideally the golfer should create a two dimensional, flat plane, once he bends the plane line it becomes three dimensional and precision is lost. The plane line should not change, the golfer should always swing along the plane line but not necessarily the flight line.